%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.07", %%% date = "20 April 2024", %%% time = "17:44:32 MST", %%% filename = "uhlenbeck-george-e.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "41612 14026 57285 620569", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; Brownian motion; %%% electron spin; George E. Uhlenbeck; %%% Konopinski--Uhlenbeck (KU) theory; %%% Ornstein--Uhlenbeck process; quantum theory; %%% Uhlenbeck--Ornstein process", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications by, %%% and about, George Eugene Uhlenbeck (6 %%% December 1900--31 October 1988), %%% co-discoverer, with Samuel A. Goudsmit and %%% Ralph Kronig, of electron angular momentum, %%% or spin, in quantum mechanics, a fundamental %%% new property in addition to charge and mass. %%% Coverage of the works of the first of those %%% can be found in the companion bibliography, %%% goudsmit-samuel-a.bib. %%% %%% At version 1.07, the year coverage looked %%% like this: %%% %%% 1924 ( 1) 1956 ( 5) 1988 ( 3) %%% 1925 ( 3) 1957 ( 1) 1989 ( 9) %%% 1926 ( 6) 1958 ( 3) 1990 ( 12) %%% 1927 ( 3) 1959 ( 4) 1991 ( 5) %%% 1928 ( 0) 1960 ( 9) 1992 ( 7) %%% 1929 ( 1) 1961 ( 0) 1993 ( 6) %%% 1930 ( 3) 1962 ( 7) 1994 ( 4) %%% 1931 ( 3) 1963 ( 9) 1995 ( 4) %%% 1932 ( 3) 1964 ( 8) 1996 ( 3) %%% 1933 ( 4) 1965 ( 5) 1997 ( 7) %%% 1934 ( 2) 1966 ( 4) 1998 ( 3) %%% 1935 ( 6) 1967 ( 4) 1999 ( 9) %%% 1936 ( 4) 1968 ( 4) 2000 ( 5) %%% 1937 ( 4) 1969 ( 2) 2001 ( 7) %%% 1938 ( 5) 1970 ( 7) 2002 ( 6) %%% 1939 ( 0) 1971 ( 5) 2003 ( 6) %%% 1940 ( 2) 1972 ( 4) 2004 ( 7) %%% 1941 ( 2) 1973 ( 6) 2005 ( 13) %%% 1942 ( 1) 1974 ( 2) 2006 ( 9) %%% 1943 ( 1) 1975 ( 4) 2007 ( 8) %%% 1944 ( 2) 1976 ( 3) 2008 ( 10) %%% 1945 ( 3) 1977 ( 1) 2009 ( 18) %%% 1946 ( 0) 1978 ( 6) 2010 ( 10) %%% 1947 ( 0) 1979 ( 1) 2011 ( 18) %%% 1948 ( 0) 1980 ( 4) 2012 ( 16) %%% 1949 ( 1) 1981 ( 2) 2013 ( 18) %%% 1950 ( 7) 1982 ( 3) 2014 ( 10) %%% 1951 ( 0) 1983 ( 0) 2015 ( 21) %%% 1952 ( 1) 1984 ( 3) 2016 ( 18) %%% 1953 ( 2) 1985 ( 6) 2017 ( 16) %%% 1954 ( 2) 1986 ( 3) 2018 ( 6) %%% 1955 ( 2) 1987 ( 4) 2019 ( 3) %%% %%% Article: 423 %%% Book: 22 %%% InCollection: 28 %%% InProceedings: 12 %%% Misc: 3 %%% PhdThesis: 1 %%% Proceedings: 9 %%% TechReport: 1 %%% Unpublished: 1 %%% %%% Total entries: 500 %%% %%% We cannot yet claim complete coverage of %%% Uhlenbeck's published works, for lack of an %%% online curriculum vita, or memoir with more %%% than a minimal selected publication list. %%% Nevertheless, what is recorded in this %%% bibliography are the results of extensive %%% searches in journal and publication %%% databases, library catalogs, and reference %%% lists in memoirs and obituaries; see below %%% for a list of such sources. %%% %%% George Uhlenbeck was born in Batavia, Dutch %%% East Indies, (now Jakarta, Indonesia) on 6 %%% December 1900. He was one of six children, %%% two of whom died in infancy of malaria. The %%% family name has German roots, and means Owl's %%% Brook. His ancestor, Johannes Wilhelmus %%% Uhlenbeck, entered military service for the %%% Dutch East India Company in Ceylon (now Sri %%% Lanka) in 1768, and founded the Dutch branch %%% of the family, some of whom chose to live in %%% the Dutch East Indies (now Indonesia). %%% %%% George Uhlenbeck's family returned to The %%% Netherlands in 1907, settling in Den Haag %%% (The Hague), where George completed his high %%% school in July 1918. His country and its %%% territories were neutral in World War I, so %%% George avoided military service in that %%% four-year long conflict. %%% %%% George Uhlenbeck began his university studies %%% at Delft University of Technology (Technische %%% Hogeschool) in chemical engineering, because %%% under Dutch law, he was inadmissible at a %%% university because of his lack of schooling %%% in Greek and Latin. He was unhappy in Delft, %%% and was better at theory than at laboratory %%% work. Fortunately, a Dutch law change in %%% late 1918 eliminated the classical language %%% requirement, allowing him to transfer in %%% January 1919 to Leiden University to study %%% mathematics and physics. He earned a %%% bachelor's degree (Kandidaatsexamen) there in %%% 1920. %%% %%% George Uhlenbeck then began graduate studies %%% under Paul Ehrenfest, and through him, got a %%% job in Rome as the tutor of the son of the %%% Dutch Ambassador to Italy. He attended %%% lectures there under Levi-Civita and %%% Volterra, learned Italian well enough to read %%% Dante's Divina Commedia, and met Enrico %%% Fermi, who became his lifelong friend. He %%% spent summers back in Leiden. %%% %%% In 1923, he received his master's degree %%% (Doctoraalexamen) from Leiden. He returned %%% from Rome to Leiden in June 1925, where he %%% was assigned by Ehrenfest to work with a %%% fellow graduate student, Samuel Goudsmit. %%% Both later completed their doctorates in %%% 1927, defending them in successive one-hour %%% sessions on 7 July 1927, Uhlenbeck before %%% Goudsmit. %%% %%% During his time in Rome, Uhlenbeck spent %%% about a year learning history, and gave %%% serious thought to switching to that field. %%% However, his difficulties with Latin and %%% Greek, and advice from his father's cousin, %%% Christianus Cornelius Uhlenbeck, who was %%% Professor of Sanskrit and comparative %%% linquistics in Leiden, and an expert on %%% Blackfoot and Inuit languges, caused him to %%% return to mathematics and physics. He did, %%% however, publish his first paper, on a %%% historical subject; see entry %%% Uhlenbeck:1924:JHD. %%% %%% In September 1925, Uhlenbeck and Goudsmit %%% wrote a famous two-page paper (see entry %%% Uhlenbeck:1925:EHU), published in November, %%% in which they proposed that the quantum %%% mechanical electron had a two-state property %%% that they called spin (either up or down), %%% although not now considered to be an actual %%% physical rotation of a tiny sphere of one %%% unit of negative charge. Although the paper %%% was initially viewed with scepticism, %%% especially by the ever-caustic Wolfgang Pauli %%% (1900--1958) in Zurich, it was soon realized %%% that the electron spin property resolved %%% numerous questions in quantum physics. In %%% particular, Pauli's Exclusion Principle, %%% published earlier that year, in February %%% 1925, stated that no two particles could %%% occupy the same quantum state, and the %%% additional property of spin meant that the %%% Pauli's Aufbau (building-up) Principle %%% explained the structure of atoms in the %%% entire periodic table of known elements, from %%% hydrogen (number 1) to uranium (number 92). %%% %%% In a paper in Naturwissenschaften 12(37) %%% 741--743 September 1924, Wolfgang Pauli had %%% proposed a nonzero angular momentum of the %%% nucleus to explain hyperfine structure, but %%% Goudsmit and Uhlenbeck were unaware of that %%% paper until five years later (see page 305 of %%% Pais:2000:GSP). Pauli's initial opposition %%% to electron spin is analyzed in detail in %%% entry Belloni:1982:PNH. %%% %%% In January 1925, a young German-born student, %%% Ralph Kronig (1904--1995), who was studying %%% at Columbia University in New York City, was %%% visiting the university in Tuebingen in %%% southern Germany where he heard Wolfgang %%% Pauli give a talk on his Exclusion Principle. %%% He then proposed the notion of electron spin, %%% but both Pauli and Werner Heisenberg %%% (1901--1976) were strongly critical of the %%% idea, so Kronig did not publish it. That %%% later led someone to propose the German rhyme %%% ``Der Kronig haett den Spin entdeckt, haett %%% Pauli ihn nicht abgeschreckt'' [Kronig would %%% have discovered the spin, if Pauli had not %%% scared him away]. Thus, Kronig was the first %%% to propose electron spin, but Uhlenbeck and %%% Goudsmit, who did not know of Kronig's work, %%% were the first to publish in print, some %%% eleven months later. %%% %%% The idea of spin angular momentum pervades %%% quantum physics, so one might have expected %%% that Kronig, Uhlenbeck, and Goudsmit would %%% have received the Nobel Prize in Physics for %%% their discovery, yet that important award %%% never came to them. Indeed, there was a %%% two-decade delay, until December 1945, when %%% Wolfgang Pauli received that Prize ``for the %%% discovery of the Exclusion Principle, also %%% called the Pauli Principle''. Entry %%% Castelvecchi:2018:FQP reports that Goudsmit %%% was nominated for the Nobel Prize in Physics %%% 48 times. The New York Times obituary for %%% Sam Goudsmit (see entry Sullivan:1978:SGC) %%% quotes Nobel Prize in Physics 1944 laureate %%% Isador I. Rabi (1898--1988): ``Physics must %%% forever be in debt to those two men [Samuel %%% Goudsmit and George Uhlenbeck] for %%% discovering the spin. Why they never received %%% a Nobel Prize will always be a mystery to %%% me.'' %%% %%% Page 305 of entry Pais:2000:GSP, quotes %%% Uhlenbeck, who wrote ``There is no doubt that %%% Ralph Kronig anticipated what certainly was %%% the main part of our ideas. It is certain %%% that it was because of this episode that no %%% Nobel Prize for spin was ever awarded.'' %%% L. H. Thomas wrote to Goudsmit about Pauli's %%% opposition: ``[It] goes to show that the %%% infallibility of the Deity does not extend to %%% his self-styled vicar on earth.'' Pais %%% reports that Harold Urey also had the idea %%% of electron spin, but did not publish it, %%% and Satyendra Nath Bose proposed, but did %%% not publish, the idea of photon spin. %%% %%% In 1927, the doctoral year of Goudsmit and %%% Uhlenbeck, Walter Francis Colby (1881--1970) %%% of the University of Michigan, in Ann Arbor, %%% MI, USA, arrived in Leiden for a visit to %%% Paul Ehrenfest. Colby was creating a new %%% research group in theoretical physics in Ann %%% Arbor, and found that Ehrenfest had two %%% newly-minted graduates in need of jobs, and %%% agreed to hire them, without yet having met %%% either! Although Michigan seemed far away, %%% and a physics backwater, Goudsmit and %%% Uhlenbeck accepted Colby's offer as a better %%% choice than a post teaching high school in a %%% small Dutch town. %%% %%% Universities in Europe were small, with %%% rarely more than one professor position in %%% any given field. Such appointments were %%% lifetime, and thus generally re-opened only %%% on death or retirement of the holder. %%% Employment for graduating student researchers %%% therefore generally had to be found in %%% industry, or in the local school systems, or %%% at colleges and universities abroad. %%% %%% On 3 September 1927, Sam and his wife Jaantje %%% (Jeanne, sometimes just Jay), and George and %%% his wife Else, sailed from Liverpool to New %%% York City. They arrived on 12 September, and %%% were met at the docks by Robert Oppenheimer %%% (1904--1967), whom they had previously met in %%% Leiden when Oppenheimer came to spend time %%% with Ehrenfest. Oppenheimer showed them some %%% sights in New York City, and helped them %%% arrange travel to Ann Arbor, a one-day train %%% journey about 900 km west. There, they joined %%% Colby, the German Otto Laporte, and the %%% American David Dennison, making a group of %%% five theoreticians, an unusually large number %%% for any university at the time. %%% %%% George and Else Uhlenbeck had one son, Olke %%% (``Okkie'') Cornelis Uhlenbeck (1942--), who %%% is a distinguished biochemist at Northwestern %%% University, Evanston, IL, and a member of the %%% US National Academy of Sciences. From 1965 %%% to 1976, Olke was married to mathematician %%% Karen Keskulla Uhlenbeck; she won the 2019 %%% Abel Prize for ``her pioneering achievements %%% in geometric partial differential equations, %%% gauge theory, and integrable systems, and for %%% the fundamental impact of her work on %%% analysis, geometry and mathematical %%% physics''. %%% %%% Although both Goudsmit and Uhlenbeck longed %%% for academic posts in Europe, where it seemed %%% that the most important work in quantum %%% physics was happening, they were able to %%% assist in the establishment of what became a %%% famous series of summer schools in %%% theoretical physics in Ann Arbor that lasted %%% until 1939. Many of the important quantum %%% physicists from Europe, and from elsewhere, %%% lectured at those summer schools, including %%% Werner Heisenberg, who became a close friend %%% of the Goudsmit family, and stayed with them. %%% %%% In the summer of 1939, it was clear that war %%% in Europe was looming, and attendees urged %%% Heisenberg to remain in the USA, where as the %%% 1932 winner of the Nobel Prize in Physics %%% ``for the creation of quantum mechanics, the %%% application of which has, inter alia, led to %%% the discovery of the allotropic forms of %%% hydrogen.'', he would have been a prize hire %%% and welcomed at numerous top American %%% universities. Although Heisenberg personally %%% disagreed with the political situation in %%% Germany, he was a patriot of German culture %%% and science who felt that he must return to %%% his native country, and did so. Less than %%% six weeks later, on 1 September 1939, Nazi %%% Germany invaded Poland, and World War II %%% began. %%% %%% While Sam Goudsmit remained in Ann Arbor %%% until 1939, George Uhlenbeck returned to The %%% Netherlands in 1935, to succeed Hendrik %%% A. Kramers as professor of theoretical %%% physics at the University of Utrecht. In %%% 1934, Kramers had assumed Paul Ehrenfest's %%% chair in Leiden after Ehrenfest's suicide in %%% 1933. However, because of the growing threat %%% of Nazism and war in Europe, in 1938, %%% Uhlenbeck moved back to the US to spend a %%% half year at Columbia University in New York %%% City, then returned to Ann Arbor, MI. %%% %%% During World War II, both Goudsmit and %%% Uhlenbeck worked on radar at the Radiation %%% Laboratory (Rad Lab) at MIT in Cambridge, MA, %%% on leave from Ann Arbor. At the end of the %%% war, George Uhlenbeck returned to Ann Arbor, %%% and in 1954, became the Henry Smith Carhart %%% Professor of Physics there. He took leave %%% during academic year 1948--1949 for a visit %%% to the Institute for Advanced Study (IAS) in %%% Princeton, NJ, where he worked with Abraham %%% Pais on renormalization theory and quantum %%% electrodynamics. He returned to the IAS %%% for the academic year 1958--1959. %%% %%% In 1960, George Uhlenbeck moved to the %%% Rockefeller Institute for Medical Research %%% (now, Rockefeller University) in New York %%% City, where he remained until his %%% `retirement' in 1971. Abraham Pais became a %%% professor there in 1963, and the two enjoyed %%% years of almost daily discussions. In %%% retirement, George Uhlenbeck continued his %%% research through the 1970s, writing papers on %%% statistical physics, and reflections on the %%% history of quantum physics. Following %%% George's stroke in 1984, George and Else %%% moved to be near their son Olke, who was then %%% a professor of microbiology at the University %%% of Illinois in Urbana-Champaign. In 1986, %%% Olke Uhlenbeck moved to a professorship at %%% the University of Colorado in Boulder, and %%% his parents moved with him. George Uhlenbeck %%% died in Boulder on 31 October 1988, just a %%% month before his 88th birthday. %%% %%% George Uhlenbeck was noted for the clarity of %%% his writing and his teaching. A paper that %%% he co-wrote with Leonard Salomon Ornstein %%% (1880--1941) about Brownian motion (entry %%% Uhlenbeck:1930:TBM) has been particularly %%% influential: in early 2019, the MathSciNet %%% database records 1018 papers with their joint %%% names in the article titles. %%% %%% Abraham Pais (page 317 of entry %%% Pais:2000:GSP) wrote that Uhlenbeck %%% interrupted one of Pais' first talks to say: %%% ``First tell us what the problem is, then %%% state your conclusions at once. Only %%% thereafter should you go into details of the %%% derivations. ... You must explain in simple %%% language, not show how smart you are. ... %%% Start on the top left corner [of the %%% blackboard], prepare your written comments so %%% that by the end of your talk you are at the %%% right bottom corner. Never, never erase %%% anything while making your presentation.'' %%% Uhlenbeck had learned those practices from %%% his own advisor, Paul Ehrenfest. Pais (page %%% 319) later commented that from his first %%% meeting with Uhlenbeck in 1938, he had always %%% addressed him as Professor. However, in %%% 1946, at an APS meeting in New York City, %%% Uhlenbeck said ``Why don't you call me %%% George?''. %%% %%% Despite the lack of a Nobel Prize, Goudsmit %%% and Uhlenbeck's work on spin has been %%% recognized by several other awards and %%% honors, including (for George Uhlenbeck) %%% %%% * Member, Royal Netherlands Academy of %%% Arts and Sciences (1951), %%% %%% * Research Corporation Award (1953) (see %%% entry Anonymous:1954:SWH), %%% %%% * Lorentz Professor in Leiden (1955), %%% %%% * Oersted Medal, American Association %%% of Physics Teachers (1956), %%% %%% * President, American Physical Society %%% (1959), %%% %%% * Max Planck Medal of the German Physical %%% Society (1964) (see entry %%% Anonymous:1964:UPR), %%% %%% * van der Waals Guest Professor, %%% University of Amsterdam (1964) %%% (see entry Uhlenbeck:1964:VWR), %%% %%% * Lorentz Medal of the Royal Netherlands %%% Academy of Arts and Sciences (1970), %%% %%% * US National Medal of Science (1976), %%% and %%% %%% * Wolf Prize in Physics (1979). %%% %%% There does not appear to be any book-length %%% biography of George Uhlenbeck, but there are %%% shorter and chapter-length memoirs in entries %%% Casimir:1988:GEU, Sullivan:1988:GUD, %%% deBoer:1989:GEU, Dresden:1989:OGU, %%% Cohen:1990:GUS, Cohen:1990:SBG, %%% Pais:2000:GSP, OConnor:2001:GEU, and %%% vanBerkel:2013:UGE. Abraham Pais, in %%% particular, collaborated with Uhlenbeck on %%% three scientific papers, and knew him well %%% for a half century. Ezechiel G. D. Cohen in %%% entry Cohen:1990:GUS gives a good overview of %%% the impact of Uhlenbeck's work in statistical %%% physics, and notes how careful Uhlenbeck was %%% to always give credit to earlier authors. %%% %%% Web sites about George Uhlenbeck include at %%% least these: %%% %%% http://en.wikipedia.org/wiki/George_Uhlenbeck %%% http://genealogy.math.ndsu.nodak.edu/id.php?id=58901 %%% http://www.aip.org/history-programs/niels-bohr-library/oral-histories/4922-1 %%% http://www.aip.org/history-programs/niels-bohr-library/oral-histories/4922-2 %%% http://www.aip.org/history-programs/niels-bohr-library/oral-histories/4922-3 %%% http://www.aip.org/history-programs/niels-bohr-library/oral-histories/4922-4 %%% http://www.aip.org/history-programs/niels-bohr-library/oral-histories/4922-5 %%% http://www.britannica.com/biography/George-Eugene-Uhlenbeck %%% http://www.dwc.knaw.nl/DL/levensberichten/PE00003410.pdf %%% http://www-history.mcs.st-andrews.ac.uk/Biographies/Uhlenbeck.html %%% %%% Data for this bibliography have been %%% collected, and merged into BibTeX entries, %%% from numerous sources, including at least %%% these: %%% %%% * the University of Utah Mathematics %%% Department bibliography archives %%% %%% * the TeX User Group bibliography %%% archives %%% %%% * the Karlsruhe Computer Science %%% bibliography archives %%% %%% * the Karlsruhe virtual catalog at %%% http://www.ubka.uni-karlsruhe.de/kvk_en.html %%% %%% * the US Library of Congress catalog at %%% http://catalog.loc.gov/ %%% %%% * the author's cattobib utility, which %%% provides Z39.50 interfaces to many %%% large libraries around the world, at %%% https://www.math.utah.edu/pub/cattobib/ %%% %%% * the European Mathematical Society %%% Zentralblatt fuer Mathematik database %%% at http://zb.msri.org/ZMATH/zmath/en/ %%% %%% * the American Mathematical Society %%% MathSciNet database at %%% http://ams.rice.edu/mathscinet/search.html %%% %%% * the American Institute of Physics %%% Scitation database at %%% http://scitation.aip.org/search_scitation %%% %%% * the American Physical Society PROLA %%% database at %%% http://publish.aps.org/search %%% %%% * the ALSOS Digital Library for Nuclear %%% Issues at Washington and Lee University %%% http://alsos.wlu.edu/ %%% %%% * the Canadian Journal of Physics %%% database at %%% http://www.nrcresearchpress.com/search/advanced %%% %%% * the Europhysics journal archive at %%% http://www.europhysicsnews.org %%% %%% * the Nature journal archive at %%% http://www.nature.com/search/ %%% %%% * the New York Times newspaper archive at %%% https://search.proquest.com/hnpnewyorktimes %%% %%% * the Russian Physics-Uspekhi (Advances %%% in Physical Sciences) journal archive %%% at %%% http://ufn.ru/ru/authors/ %%% %%% * the SAO/NASA Astrophysics Data System at %%% http://adsabs.harvard.edu/ %%% %%% * the Science journal archive at %%% http://www.sciencemag.org/search %%% %%% * the SPIRES high-energy physics %%% literature database at the Stanford %%% Linear Accelerator at Stanford %%% University at %%% http://www.slac.stanford.edu/spires/hep/search/ %%% %%% * the Springer journal database at %%% http://www.springer.com/?SGWID=0-102-13-0-0 %%% %%% * the Wiley journal database at %%% http://onlinelibrary.wiley.com/ %%% %%% * the JSTOR database at %%% http://www.jstor.org/, and %%% %%% * many online library catalogs, including %%% those of the British Library, the %%% Karlsruhe Virtual Library catalog, the %%% Cambridge University Library, the %%% Oxford University Library, the %%% University of California library %%% system, and the US Library of Congress. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{ "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \undefined \k \let \k = \c \fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi" # "\ifx \undefined \mathcal \def \mathcal #1{{\cal #1}} \fi" # "\ifx \undefined \mathfrak \let \mathfrak = \mathcal \fi" }

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ADV-APPL-PROB= "Advances in Applied Probability"} @String{j-ADV-APPL-STAT= "Advances and Applications in Statistics"} @String{j-ADV-MATH= "Advances in Mathematics"} @String{j-AM-SCI= "American Scientist"} @String{j-AMER-J-PHYSICS= "American Journal of Physics"} @String{j-AMER-MATH-MONTHLY= "American Mathematical Monthly"} @String{j-ANN-APPL-PROBAB= "Annals of Applied Probability"} @String{j-ANN-INST-HENRI-POINCARE-ANAL-NON-LINEAIRE= "Annales de l'Institut Henri Poincar{\'e}. Analyse non lin{\'e}aire"} @String{j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST= "Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques"} @String{j-ANN-INST-STAT-MATH-TOKYO= "Annals of the Institute of Statistical Mathematics (Tokyo)"} @String{j-ANN-MATH-STAT= "Annals of Mathematical Statistics"} @String{j-ANN-NY-ACAD-SCI= "Annals of the New York Academy of Sciences"} @String{j-ANN-PHYS= "Annals of Physics"} @String{j-ANN-PROBAB= "Annals of Probability"} @String{j-ANN-STAT= "Annals of Statistics"} @String{j-ANZIAM-J= "The ANZIAM Journal"} @String{j-APPL-MATH-COMP= "Applied Mathematics and Computation"} @String{j-APPL-NUM-MATH= "Applied Numerical Mathematics: Transactions of IMACS"} @String{j-ARCH-RAT-MECH-ANAL= "Archive for Rational Mechanics and Analysis"} @String{j-BERNOULLI= "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability"} @String{j-BULL-AT-SCI= "Bulletin of the Atomic Scientists"} @String{j-C-R-ACAD-SCI-PARIS= "Comptes rendus de l'Acad{\'e}mie des sciences, Paris"} @String{j-CAN-J-MATH= "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques"} @String{j-CAN-J-PHYS= "Canadian Journal of Physics = Journal canadien de physique"} @String{j-CAN-J-STAT= "Canadian Journal of Statistics = Revue canadienne de statistique"} @String{j-CAN-MATH-BULL= "Bulletin canadien de math{\'e}matiques = Canadian Mathematical Bulletin"} @String{j-CHEM-ENG-NEWS= "Chemical \& Engineering News"} @String{j-CLASS-QUANTUM-GRAV= "Classical and quantum gravity"} @String{j-COMM-APPL-ANAL= "Communications in Applied Analysis"} @String{j-COMMUN-STAT-SIMUL-COMPUT= "Communications in Statistics: Simulation and Computation"} @String{j-COMMUN-STAT-THEORY-METH= "Communications in Statistics: Theory and Methods"} @String{j-COMP-PHYS-COMM= "Computer Physics Communications"} @String{j-COMPUT-MATH-APPL= "Computers and Mathematics and Applications"} @String{j-COMPUT-MATH-MATH-PHYS= "Computational Mathematics and Mathematical Physics"} @String{j-COMPUT-STAT-DATA-ANAL= "Computational Statistics \& Data Analysis"} @String{j-DEMOGRAPHY= "Demography"} @String{j-DOKL-AKAD-NAUK= "Doklady Akademii nauk SSSR"} @String{j-ELECTRON-COMMUN-PROBAB= "Electronic Communications in Probability"} @String{j-ELECTRON-J-PROBAB= "Electronic Journal of Probability"} @String{j-ESAIM-PROBAB-STATIST= "ESAIM: Probability and Statistics"} @String{j-INT-J-MATH= "International Journal of Mathematics"} @String{j-INT-J-THEOR-PHYS= "International Journal of Theoretical Physics"} @String{j-INT-J-STAT-PROBAB= "International Journal of Statistics and Probability"} @String{j-J-AM-STAT-ASSOC= "Journal of the American Statistical Association"} @String{j-J-APPL-PROBAB= "Journal of Applied Probability"} @String{j-J-CHEM-PHYS= "Journal of Chemical Physics"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-PHYS= "Journal of Computational Physics"} @String{j-J-ECONOMETRICS= "Journal of Econometrics"} @String{j-J-HIGH-ENERGY-PHYS= "Journal of High Energy Physics"} @String{j-J-MATH-ANAL-APPL= "Journal of Mathematical Analysis and Applications"} @String{j-J-MATH-BIOL= "Journal of Mathematical Biology"} @String{j-J-MATH-CHEM= "Journal of Mathematical Chemistry"} @String{j-J-MATH-PHYS= "Journal of Mathematical Physics"} @String{j-J-MATH-PHYS-MIT= "Journal of Mathematics and Physics / Massachusetts Institute of Technology"} @String{j-J-PHYS-A= "Journal of Physics A (Mathematical and General)"} @String{j-J-PHYS-CHEM= "Journal of Physical Chemistry"} @String{j-J-R-STAT-SOC-SER-B-STAT-METHODOL= "Journal of the Royal Statistical Society. Series B (Statistical Methodology)"} @String{j-J-SIAM= "Journal of the Society for Industrial and Applied Mathematics"} @String{j-J-STAT-COMPUT-SIMUL= "Journal of Statistical Computation and Simulation"} @String{j-J-STAT-PHYS= "Journal of Statistical Physics"} @String{j-J-THEOR-PROBAB= "Journal of Theoretical Probability"} @String{j-J-TIME-SER-ANAL= "Journal of Time Series Analysis"} @String{j-LECT-NOTES-MATH= "Lecture Notes in Mathematics"} @String{j-MANUSCR-MATH= "Manuscripta Mathematica"} @String{j-MATH-ANN= "Mathematische Annalen"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-Z= "Mathematische Zeitschrift"} @String{j-METRIKA= "Metrika. 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%%% ==================================================================== %%% Publisher abbreviations:

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%%% ==================================================================== %%% Part 1 (of 2) --- George E. Uhlenbeck and his works %%% %%% Entries are sorted by year, and then by citation label, with %%% ``bibsort --byyear''.

@Article{Uhlenbeck:1924:JHD, author = "George E. Uhlenbeck", title = "Over {Johannes Heckius}. ({Dutch}) [{On Johannes Heckius}]", journal = "Mededeelingen van het {Nederlandsch Historisch Instituut} te {Rome}", volume = "4", pages = "217--228", year = "1924", bibdate = "Tue Apr 23 16:53:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://resources.huygens.knaw.nl/retroboeken/knir/#page=11&accessor=toc1&view=imagePane&size=686&source=4", acknowledgement = ack-nhfb, ajournal = "Commun. Dutch Hist. Inst. Rome", author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", remark = "This is Uhlenbeck's first publication, about history, rather than physics. The subject is one of the four cofounders of the Accademia del Lincei (Academy of Lynxes) in Rome in 1603.", } @Article{Goudsmit:1925:OSV, author = "S. Goudsmit and G. E. Uhlenbeck", title = "Opmerking over de spectra van waterstof en helium. ({Dutch}) [{Note} on the spectra of hydrogen and helium]", journal = j-PHYSICA-THE-HAGUE, volume = "5", number = "??", pages = "266--270", month = "????", year = "1925", CODEN = "PYSIA7", ISSN = "0370-2707", bibdate = "Tue Apr 23 14:10:52 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica (The Hague)", language = "Dutch", remark = "This is Goudsmit and Uhlenbeck's first joint paper.", xxnote = "TO DO: find it in archives", } @Article{Uhlenbeck:1925:EHU, author = "George E. Uhlenbeck and Samuel Goudsmit", title = "{Ersetzung der Hypothese vom unmechanischen Zwang durch eine Forderung bez{\"u}glich des inneren Verhaltens jedes einzelnen Elektrons}. ({German}) [{Replacement} of the hypothesis of unmechanical force with a requirement for the inner behavior of each electron]", journal = j-NATURWISSENSCHAFTEN, volume = "13", number = "47", pages = "953--954", month = nov, year = "1925", CODEN = "NATWAY", DOI = "https://doi.org/10.1007/BF01558878", ISSN = "0028-1042 (print), 1432-1904 (electronic)", ISSN-L = "0028-1042", bibdate = "Tue Jul 03 07:38:19 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "See \cite{Lorentz:1936:U} for a computation in 1927 of the radius of a rotating charged particle with the spin of the electron.", URL = "http://link.springer.com/article/10.1007/BF01558878; http://www.springerlink.com/content/u20q85248gp8166q/", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Naturwissenschaften", journal-URL = "http://link.springer.com/journal/114", language = "German", remark-1 = "In this paper, Goudsmit and Uhlenbeck proposed the concept of electron spin, a critical step forward in the quantum mechanics of many-electron systems. Surprisingly, that work did not get them the Nobel Prize. After World War II, Goudsmit was the scientific head of the Alsos mission to capture German nuclear scientists. In the 1950s, he founded the journal Physical Review Letters. During the 1960s and 1970s, he was Editor-in-Chief of the main American physics journal, the Physical Review. Wolfgang Pauli presented his Exclusion Principle in 1925, for which he received the 1945 Nobel Prize in Physics. Pauli tightened the Exclusion Principle to include spin in \cite{Pauli:1940:CBS}.", remark-2 = "Pais \cite[page 302]{Pais:2000:GSP} says of this paper: ``\,`Lorentz has shown us that this is nonsense.' And so we said to Ehrenfest, `We'd better not publish that note.' And then Ehrenfest said `I have sent it away already weeks ago and it will appear next week!' And then he said to us --- I don't know whether Same remembers, but I remember --- `Well, Sie beide sind jung; Sie k{\"o}nnen sich eine Dummheit leisten!' [You are both young, you can afford a stupidity]", remark-3 = "Pais \cite[page 302]{Pais:2000:GSP} reports about the author order: ``The discovery was published with Uhlenbeck as first author and Goudsmit as second because (George told me) Ehrenfest suggested that this order would avoid the impression that George was only Sem's [Sem was Samuel's nickname] student, while Sem himself preferred to come second because it was George who had first thought of spin.''", remark-4 = "See also the second \cite{Uhlenbeck:1926:SES} and third \cite{Goudsmit:1926:RES} papers.", } @Article{Uhlenbeck:1925:SVL, author = "G. E. Uhlenbeck", title = "Over een stelling van {Lorentz} en haar uitbreiding voor meerdimensionale ruimten. ({Dutch}) [{On} a statement by {Lorentz} and its extension for multi-dimensional spaces]", journal = j-PHYSICA-THE-HAGUE, volume = "5", number = "??", pages = "423--428", month = "????", year = "1925", CODEN = "PYSIA7", ISSN = "0370-2707", bibdate = "Tue Apr 23 14:06:48 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica (The Hague)", language = "Dutch", xxnote = "TO DO: find it in archives", } @Article{Ehrenfest:1926:CDM, author = "P. Ehrenfest and G. E. Uhlenbeck", title = "On the connection of different methods of solution of the wave equation in multi-dimensional spaces", journal = "Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam. Wis- en natuurkundige vakken", volume = "29", number = "??", pages = "1280--1285", month = "????", year = "1926", bibdate = "Tue Apr 23 14:16:04 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, ajournal = "Proc. Kon. Akad. Wetensch.", author-dates = "Paul Ehrenfest (1880--1933), George E. Uhlenbeck (1900--1988)", xxjournal = "Proc. Acad. Amsterdam", xxjournal = "Verhandelingen der koninklijke {Akademie van Wetenschappen te Amsterdam}", xxnote = "TO DO: Find correct full journal title. I cannot match volume with year in the Hathi Trust invisible holdings. Biodiversity Heritage Library site has only volumes 1 (1892) to 12 (1915--1919).", } @Article{Ehrenfest:1926:GVB, author = "P. Ehrenfest and G. E. Uhlenbeck", title = "{Graphische Veranschaulichung der De Broglieschen Phasenwellen in der f{\"u}nfdimensionalen Welt von O. Klein}. ({German}) [{Graphical} Illustration of {de Broglie}'s Phase Waves in the Five-Dimensional World by {O. Klein}]", journal = j-Z-PHYSIK, volume = "39", number = "7--8", pages = "495--498", month = jul, year = "1926", CODEN = "ZEPYAA", DOI = "https://doi.org/10.1007/bf01322089", ISSN = "0044-3328", bibdate = "Thu Apr 18 15:17:47 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/debroglie-louis.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Paul Ehrenfest (1880--1933), George E. Uhlenbeck (1900--1988)", fjournal = "{Zeitschrift f{\"u}r Physik}", journal-URL = "http://link.springer.com/journal/218", language = "German", received = "16 September 1926", } @Article{Goudsmit:1926:KQI, author = "S. Goudsmit and G. E. Uhlenbeck", title = "{Die Kopplungsm{\"o}glichkeiten der Quantenvektoren im Atom}. ({German}) [{The} coupling possibilities of quantum vectors in the atom]", journal = j-Z-PHYSIK, volume = "35", number = "8--9", pages = "618--625", month = aug, year = "1926", CODEN = "ZEPYAA", DOI = "https://doi.org/10.1007/BF01379808", ISSN = "0044-3328", ISSN-L = "0044-3328", bibdate = "Wed Apr 17 05:59:47 MDT 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://link.springer.com/article/10.1007/BF01379808", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "{Zeitschrift f{\"u}r Physik}", journal-URL = "http://link.springer.com/journal/218", language = "German", } @Article{Goudsmit:1926:RES, author = "S. Goudsmit and G. E. Uhlenbeck", title = "Over het roteerende electron en de structuur der spectra. ({Dutch}) [{On} the rotating electron and the structure of the spectra]", journal = j-PHYSICA-THE-HAGUE, volume = "6", number = "??", pages = "273--290", month = "????", year = "1926", CODEN = "PYSIA7", ISSN = "0370-2707", bibdate = "Tue Apr 23 14:12:15 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica (The Hague)", language = "Dutch", remark = "This is the authors' third paper on spin, after \cite{Uhlenbeck:1925:EHU,Uhlenbeck:1926:SES}.", xxnote = "TO DO: find it in archives", } @Article{Uhlenbeck:1926:SES, author = "G. E. Uhlenbeck and S. Goudsmit", title = "Spinning Electrons and the Structure of Spectra", journal = j-NATURE, volume = "117", number = "2938", pages = "264--265", day = "20", month = feb, year = "1926", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/117264a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Wed Apr 17 08:44:45 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "The paper is followed by a half-column supportive letter from Niels Bohr. See \cite{Thomas:1926:MSE} for a relativistic correction to the Zeeman splitting of spectral lines.", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", remark = "This is the authors' second paper on spin; see also the first \cite{Uhlenbeck:1925:EHU} and third \cite{Goudsmit:1926:RES} papers.", } @Article{Ehrenfest:1927:EMG, author = "P. Ehrenfest and G. E. Uhlenbeck", title = "{Zum Einsteinschen ,,Mischungsparadoxon''}. ({German}) [{On} {Einstein}'s ``Mixing Paradox'']", journal = j-Z-PHYSIK, volume = "41", number = "8--9", pages = "576--582", month = nov, year = "1927", CODEN = "ZEPYAA", DOI = "https://doi.org/10.1007/bf01390489", ISSN = "0044-3328", bibdate = "Thu Apr 18 15:21:43 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Paul Ehrenfest (1880--1933), George E. Uhlenbeck (1900--1988)", fjournal = "{Zeitschrift f{\"u}r Physik}", journal-URL = "http://link.springer.com/journal/218", language = "German", } @Article{Ehrenfest:1927:WIB, author = "P. Ehrenfest and G. E. Uhlenbeck", title = "{Die wellenmechanische Interpretation der Boltzmannschen Statistik neben der der neueren Statistiken}. ({German}) [{The} Wave Mechanical Interpretation of {Boltzmann} Statistics According to Recent Statistics]", journal = j-Z-PHYSIK, volume = "41", number = "1", pages = "24--26", month = jan, year = "1927", CODEN = "ZEPYAA", DOI = "https://doi.org/10.1007/bf01454759", ISSN = "0044-3328", bibdate = "Thu Apr 18 15:20:23 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Paul Ehrenfest (1880--1933), George E. Uhlenbeck (1900--1988)", fjournal = "{Zeitschrift f{\"u}r Physik}", journal-URL = "http://link.springer.com/journal/218", language = "German", } @PhdThesis{Uhlenbeck:1927:SMT, author = "George Eugene Uhlenbeck", title = "Over statistische Methoden in de Theorie der Quanta. ({Dutch}) [{On} Statistical Methods in the Theory of Quanta]", type = "{Ph.D.} thesis", school = "Universiteit Leiden", address = "Leiden, The Netherlands", pages = "viii + 97", year = "1927", bibdate = "Wed Apr 17 17:38:34 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://ilorentz.org/history/proefschriften/sources/Uhlenbeck_1927.pdf; https://genealogy.math.ndsu.nodak.edu/id.php?id=58901", acknowledgement = ack-nhfb, advisor = "Paul Ehrenfest", author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", language = "Dutch", remark = "From The Mathematics Genealogy Project on 17 April 2019: ``According to our current on-line database, George Uhlenbeck has 9 students [among them, Emil Konopinski] and 151 descendants.''", xxtitle = "Over statistische methoden in de quantum theorie", } @Article{Uhlenbeck:1929:PBM, author = "G. E. Uhlenbeck and S. Goudsmit", title = "A Problem in {Brownian} Motion", journal = j-PHYS-REV-2, volume = "34", number = "1", pages = "145--151", month = jul, year = "1929", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.34.145", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Thu Apr 18 18:13:29 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Uhlenbeck:1930:TBM, author = "G. E. Uhlenbeck and L. S. Ornstein", title = "On the Theory of the {Brownian} Motion", journal = j-PHYS-REV-2, volume = "36", number = "5", pages = "823--841", month = sep, year = "1930", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.36.823", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Thu Apr 18 10:05:22 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Uhlenbeck:1930:VDE, author = "G. E. Uhlenbeck and L. A. Young", title = "The Value of $ e / m $ by Deflection Experiments", journal = j-PHYS-REV-2, volume = "36", number = "12", pages = "1721--1727", month = dec, year = "1930", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.36.1721", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Young:1930:WBK, author = "L. A. Young and G. E. Uhlenbeck", title = "On the {Wentzel--Brillouin--Kramers} Approximate Solution of the Wave Equation", journal = j-PHYS-REV-2, volume = "36", number = "7", pages = "1154--1167", month = oct, year = "1930", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.36.1154", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Laporte:1931:ASA, author = "Otto Laporte and George E. Uhlenbeck", title = "Application of Spinor Analysis to the {Maxwell} and {Dirac} Equations", journal = j-PHYS-REV-2, volume = "37", number = "11", pages = "1380--1397", month = jun, year = "1931", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.37.1380", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clerk-maxwell-james.bib; https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Uhlenbeck:1931:NCR, author = "G. E. Uhlenbeck and Otto Laporte", title = "New Covariant Relations Following from the {Dirac} Equations", journal = j-PHYS-REV-2, volume = "37", number = "11", pages = "1552--1554", month = jun, year = "1931", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.37.1552.2", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{vanLear:1931:BMS, author = "G. A. van Lear and G. E. Uhlenbeck", title = "The {Brownian} Motion of Strings and Elastic Rods", journal = j-PHYS-REV-2, volume = "38", number = "9", pages = "1583--1598", month = nov, year = "1931", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.38.1583", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Dennison:1932:TMP, author = "David M. Dennison and G. E. Uhlenbeck", title = "The Two-Minima Problem and the Ammonia Molecule", journal = j-PHYS-REV-2, volume = "41", number = "3", pages = "313--321", month = aug, year = "1932", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.41.313", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Uhlenbeck:1932:ESN, author = "G. E. Uhlenbeck and L. Gropper", title = "The Equation of State of a Non-ideal {Einstein--Bose} or {Fermi--Dirac} Gas", journal = j-PHYS-REV-2, volume = "41", number = "1", pages = "79--90", month = jul, year = "1932", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.41.79", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Uhlenbeck:1932:VSF, author = "G. E. Uhlenbeck and E. A. Uehling", title = "The Velocity of Sound in a {Fermi--Dirac} or {Einstein--Bose} Ideal Gas", journal = j-PHYS-REV-2, volume = "39", number = "6", pages = "1014--1015", month = mar, year = "1932", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.39.1014.2", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Fermi:1933:REP, author = "Enrico Fermi and George E. Uhlenbeck", title = "On the Recombination of Electrons and Positrons", journal = j-PHYS-REV-2, volume = "44", number = "6", pages = "510--511", day = "15", month = sep, year = "1933", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/PhysRev.44.510.2", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Sat Jun 16 15:06:18 MDT 2012", bibsource = "http://publish.aps.org/search; https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://prola.aps.org/abstract/PR/v44/i6/p510_2", acknowledgement = ack-nhfb, author-dates = "Enrico Fermi (1901--1954); George E. Uhlenbeck (1900--1988)", CP-number = "77b", fjournal = "Physical Review", journal-URL = "http://journals.aps.org/pr/issues", } @Article{Fermi:1933:SRE, author = "Enrico Fermi and George E. Uhlenbeck", title = "Sulla ricombinazione di elettroni e positroni. ({Italian}) [{On} the recombination of electrons and positrons]", journal = j-RIC-SCI-PROG-TEC, volume = "4", number = "2", pages = "157--160", year = "1933", CODEN = "RSPTB6", bibdate = "Tue Jun 19 09:26:30 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", ZMnumber = "0007.37603", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", CP-number = "77a", fjournal = "Ricerca Scientifica ed il Progresso Tecnico", keywords = "{quantum theory}", language = "Italian", xxvolume = "2", } @Article{Merritt:1933:OPE, author = "E. Merritt and G. E. Uhlenbeck and S. Goudsmit and G. H. Dieke and H. W. Stunkard", title = "Obituary: {Paul Ehrenfest}", journal = j-SCIENCE, volume = "78", number = "2026", pages = "377--378", day = "27", month = oct, year = "1933", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.78.2026.377", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Wed Apr 17 09:10:26 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Uehling:1933:TPE, author = "E. A. Uehling and G. E. Uhlenbeck", title = "Transport Phenomena in {Einstein--Bose} and {Fermi--Dirac} Gases. {I}", journal = j-PHYS-REV-2, volume = "43", number = "7", pages = "552--561", month = apr, year = "1933", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.43.552", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Wolfe:1934:SDP, author = "Hugh C. Wolfe and G. E. Uhlenbeck", title = "Spontaneous Disintegration of Proton or Neutron According to the {Fermi} Theory", journal = j-PHYS-REV-2, volume = "46", number = "3", pages = "237--237", month = aug, year = "1934", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.46.237", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Wu:1934:DOP, author = "Ta-You Wu and George E. Uhlenbeck", title = "Disintegration of {Li$^6$} by Protons and Deutons", journal = j-PHYS-REV-2, volume = "45", number = "8", pages = "553--554", month = apr, year = "1934", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.45.553", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Konopinski:1935:FTR, author = "E. J. Konopinski and G. E. Uhlenbeck", title = "On the {Fermi} Theory of $ \beta $-Radioactivity", journal = j-PHYS-REV-2, volume = "48", number = "1", pages = "7--12", month = jul, year = "1935", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.48.7", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", remark = "This paper is the origin of Konopinski--Uhlenbeck (KU) theory which seemed to improve Fermi's prediction of the number of electrons emitted as a function of their energy, but after about five years, was abandoned as experiments were improved. See \cite[page 315]{Pais:2000:GSP} for a discussion, \cite{Franklin:2005:KUT} for a historical refutation, and also \cite{Konopinski:1935:HOD} and the second paper \cite{Konopinski:1941:FTR}.", } @Article{Konopinski:1935:HOD, author = "E. J. Konopinski and George E. Uhlenbeck", title = "Higher Order Derivatives in the Interaction {``Ansatz''} of the {Fermi} Theory", journal = j-PHYS-REV-2, volume = "48", number = "1", pages = "107--108", month = jul, year = "1935", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.48.107", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Rose:1935:FEP, author = "Morris E. Rose and George E. Uhlenbeck", title = "The Formation of Electron--Positron Pairs by Internal Conversion of $ \gamma $-Radiation", journal = j-PHYS-REV-2, volume = "48", number = "3", pages = "211--223", month = aug, year = "1935", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.48.211", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Uhlenbeck:1935:PPC, author = "G. E. Uhlenbeck", title = "The probability of position in a canonical ensemble", journal = j-J-MATH-PHYS-MIT, volume = "14", number = "1--4", pages = "10--16", month = "????", year = "1935", CODEN = "JMPHA9", ISSN = "0097-1421", ISSN-L = "0097-1421", bibdate = "Tue Apr 23 15:10:52 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, ajournal = "J. Math. Phys.", author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Journal of Mathematics and Physics / Massachusetts Institute of Technology", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590", zjournal = "Journal of Mathematics and Physics (MIT)", } @InProceedings{Uhlenbeck:1935:SED, author = "G. E. Uhlenbeck and S. Goudsmit", editor = "????", booktitle = "Zeeman Verhandelingen", title = "Statistical energy distribution for a small number of particles", publisher = pub-MARTINUS-NIJHOFF, address = pub-MARTINUS-NIJHOFF:adr, pages = "201--211", year = "1935", bibdate = "Tue Apr 23 15:31:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Knipp:1936:EGR, author = "J. K. Knipp and G. E. Uhlenbeck", title = "Emission of gamma radiation during the beta decay of nuclei", journal = j-PHYSICA, volume = "3", number = "6", pages = "425--439", month = jun, year = "1936", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/s0031-8914(36)80008-1", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", bibdate = "Wed Apr 24 10:51:29 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @Book{Uhlenbeck:1936:PVB, author = "George E. Uhlenbeck", title = "Het principe van behoud van energie. ({Dutch}) [{The} principle of energy conservation]", publisher = "Nijhoff", address = "'s-Gravenhage, The Netherlands", pages = "16", year = "1936", bibdate = "Wed Apr 24 14:00:47 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "Inaugurele rede Rijksuniversiteit Utrecht. (Dutch) [Inaugural lecture at the State University of Utrecht].", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", language = "Dutch", remark = "Overdr. uit: Nederlandsch tijdschrift voor natuurkunde III, afl. 2.", } @Article{Uhlenbeck:1936:QTN, author = "G. E. Uhlenbeck and E. Beth", title = "The quantum theory of the non-ideal gas {I}. {Deviations} from the classical theory", journal = j-PHYSICA, volume = "3", number = "8", pages = "729--745", month = aug, year = "1936", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/S0031-8914(36)80346-2", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", bibdate = "Tue Apr 23 15:24:05 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @Article{Kahn:1937:TC, author = "B. Kahn and G. E. Uhlenbeck", title = "On the theory of condensation", journal = j-PHYSICA, volume = "4", number = "10", pages = "1155--1156", month = oct, year = "1937", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/s0031-8914(37)80211-6", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", bibdate = "Wed Apr 24 10:26:07 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @Article{Uhlenbeck:1937:NLS, author = "G. E. Uhlenbeck and H. Kuiper", title = "Note on the law of {Sargent}", journal = j-PHYSICA, volume = "4", number = "7", pages = "601--605", month = jul, year = "1937", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/s0031-8914(37)80105-6", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", bibdate = "Wed Apr 24 10:52:54 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @Article{Uhlenbeck:1937:QTN, author = "G. E. Uhlenbeck and E. Beth", title = "The quantum theory of the non-ideal gas {II}. {Behavior} at low temperatures", journal = j-PHYSICA, volume = "4", number = "10", pages = "915--924", month = oct, year = "1937", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/S0031-8914(37)80189-5", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", bibdate = "Tue Apr 23 15:24:05 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @Article{VanLier:1937:SCD, author = "C. {Van Lier} and G. E. Uhlenbeck", title = "On the statistical calculation of the density of the energy levels of the nuclei", journal = j-PHYSICA, volume = "4", number = "7", pages = "531--542", month = jul, year = "1937", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/s0031-8914(37)80098-1", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", bibdate = "Wed Apr 24 10:40:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0031891437800981", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @Article{Hebb:1938:SNI, author = "Malcolm H. Hebb and G. E. Uhlenbeck", title = "Stability of nuclear isomers", journal = j-PHYSICA, volume = "5", number = "7", pages = "605--608", month = jul, year = "1938", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/s0031-8914(38)80007-0", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", bibdate = "Wed Apr 24 14:43:40 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @Article{Kahn:1938:TC, author = "B. Kahn and G. E. Uhlenbeck", title = "On the theory of condensation", journal = j-PHYSICA, volume = "5", number = "5", pages = "399--416", month = may, year = "1938", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/S0031-8914(38)80068-9", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", bibdate = "Tue Apr 23 14:34:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", remark = "See \cite[page 311]{Pais:2000:GSP} for comments on this paper and its view of Bose--Einstein condensation, predicted in 1924--1925, but not experimentally created until 1995. The Nobel Prize in Physics 2001 was awarded to Eric A. Cornell, Wolfgang Ketterle and Carl E. Wieman, ``for the achievement of Bose--Einstein condensation in dilute gases of alkali atoms, and for early fundamental studies of the properties of the condensates''.", } @Article{Nordsieck:1940:TCR, author = "A. Nordsieck and W. E. {Lamb, Jr.} and G. E. Uhlenbeck", title = "On the theory of cosmic-ray showers. {I}. {The} {Furry} model and the fluctuation problem", journal = j-PHYSICA, volume = "7", number = "4", pages = "344--360", month = apr, year = "1940", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/S0031-8914(40)90102-1", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", MRclass = "79.0X", MRnumber = "0007519", MRreviewer = "B. O. Koopman", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @Article{Uhlenbeck:1940:BRP, author = "George E. Uhlenbeck", title = "Book Review: {{\booktitle{The Principle of Statistical Mechanics}} by Richard C. Tolman, Oxford University Press, 1939}", journal = j-SCIENCE, volume = "92", number = "2387", pages = "287--288", day = "27", month = sep, year = "1940", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Wed Apr 24 14:13:48 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.jstor.org/stable/1667342", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Konopinski:1941:FTR, author = "E. J. Konopinski and G. E. Uhlenbeck", title = "On the {Fermi} Theory of $ \beta $-Radioactivity. {II}. {The} ``Forbidden'' Spectra", journal = j-PHYS-REV-2, volume = "60", number = "4", pages = "308--320", month = aug, year = "1941", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.60.308", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Uhlenbeck:1941:BRM, author = "George E. Uhlenbeck", title = "Book Review: {{\booktitle{The Mathematical Theory of Non-uniform Gases}}. By S. Chapman and T. G. Cowling}", journal = j-J-PHYS-CHEM, volume = "45", number = "5", pages = "876--877", month = may, year = "1941", CODEN = "JPCHAX", DOI = "https://doi.org/10.1021/j150410a017", ISSN = "0022-3654 (print), 1541-5740 (electronic)", ISSN-L = "0022-3654", bibdate = "Fri Apr 19 06:32:53 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Journal of Physical Chemistry", journal-URL = "http://pubs.acs.org/journal/jpchax", } @Article{Scott:1942:TCR, author = "W. T. Scott and G. E. Uhlenbeck", title = "On the theory of cosmic-ray showers. {II}. {Further} contributions to the fluctuation problem", journal = j-PHYS-REV-2, volume = "62", number = "11-12", pages = "497--508", month = dec, year = "1942", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.62.497", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "79.0X", MRnumber = "0007520", MRreviewer = "B. O. Koopman", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review (2)", journal-URL = "http://journals.aps.org/archive/browse", } @Book{Scott:1943:TCR, author = "William T. Scott and George E. Uhlenbeck", title = "On the Theory of Cosmic Ray Showers", publisher = "Lancaster Press", address = "Lancaster, PA, USA", pages = "????", year = "1943", bibdate = "Thu Apr 18 10:48:52 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "William Taussig Scott (1916--1999); George E. Uhlenbeck (1900--1988)", remark = "Reprinted from \booktitle{The Physical Review}.", } @Article{Wang:1945:TBMa, author = "Ming Chen Wang and George E. Uhlenbeck", title = "On the Theory of the {Brownian} Motion {II}", journal = j-REV-MOD-PHYS, volume = "17", number = "2--3", pages = "323--342", month = apr, year = "1945", CODEN = "RMPHAT", DOI = "https://doi.org/10.1103/RevModPhys.17.323", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Tue May 22 16:36:33 MDT 2012", bibsource = "http://rmp.aps.org/toc/RMP/v17/i2--3; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/revmodphys1940.bib", URL = "http://link.aps.org/doi/10.1103/RevModPhys.17.323; http://rmp.aps.org/abstract/RMP/v17/i2-3/p323_1", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Reviews of Modern Physics", journal-URL = "http://rmp.aps.org/browse", } @Book{Wang:1945:TBMb, author = "Ming Chen Wang and George E. Uhlenbeck", title = "On the Theory of the {Brownian} Motion {II}", publisher = "Lancaster Press", address = "Lancaster, PA, USA", pages = "????", year = "1945", bibdate = "Thu Apr 18 10:51:26 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", remark = "Reprinted from \booktitle{Reviews of Modern Physics}.", } @Article{Wang:1945:TBMc, author = "Ming Chen Wang and G. E. Uhlenbeck", title = "On the theory of the {Brownian} motion. {II}", journal = j-REV-MOD-PHYS, volume = "17", pages = "323--342", year = "1945", CODEN = "RMPHAT", DOI = "https://doi.org/10.1103/RevModPhys.17.323", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", MRclass = "60.0X", MRnumber = "0013266", MRreviewer = "J. L. Doob", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Reviews of Modern Physics", journal-URL = "http://rmp.aps.org/browse", } @Article{Pais:1949:TIC, author = "A. Pais and G. E. Uhlenbeck", title = "{T3}. {On} the Interaction of Charged Spin 0 Particles with the Electromagnetic Field", journal = j-PHYS-REV-2, volume = "75", number = "8", pages = "1321--1321", day = "15", month = apr, year = "1949", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/PhysRev.75.1279", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Wed Apr 24 08:31:51 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "Brief contribution to the Minutes of the 1948 Annual Meeting at New York, January 26--29, 1949.", URL = "https://journals.aps.org/pr/pdf/10.1103/PhysRev.75.1279", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review (2)", journal-URL = "http://journals.aps.org/archive/browse", } @Article{Falkoff:1950:BGA, author = "David L. Falkoff and G. E. Uhlenbeck", title = "On the Beta--Gamma-Angular Correlation", journal = j-PHYS-REV-2, volume = "79", number = "2", pages = "334--340", month = jul, year = "1950", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.79.334", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "81.0X", MRnumber = "0037229", MRreviewer = "K. M. Case", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review (2)", journal-URL = "http://journals.aps.org/archive/browse", } @Article{Falkoff:1950:DCS, author = "David L. Falkoff and G. E. Uhlenbeck", title = "On the Directional Correlation of Successive Nuclear Radiations", journal = j-PHYS-REV-2, volume = "79", number = "2", pages = "323--333", month = jul, year = "1950", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.79.323", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "81.0X", MRnumber = "0037228", MRreviewer = "K. M. Case", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review (2)", journal-URL = "http://journals.aps.org/archive/browse", } @Article{Pais:1950:FTN, author = "A. Pais and G. E. Uhlenbeck", title = "On Field Theories with Non-Localized Action", journal = j-PHYS-REV-2, volume = "79", number = "1", pages = "145--165", month = jul, year = "1950", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.79.145", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "81.0X", MRnumber = "0037216", MRreviewer = "K. M. Case", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review (2)", journal-URL = "http://journals.aps.org/archive/browse", } @Article{Riddell:1950:NPC, author = "R. J. {Riddell, Jr.} and G. E. Uhlenbeck", title = "On the notion of pressure in a canonical ensemble", journal = j-J-CHEM-PHYS, volume = "18", pages = "1066--1069", year = "1950", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.1747859", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", MRclass = "80.1X", MRnumber = "0039622", MRreviewer = "E. Montroll", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "The Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", } @Misc{Uhlenbeck:1950:SBP, author = "George E. Uhlenbeck", title = "Some basic problems of statistical mechanics", howpublished = "American Mathematical Society, Gibbs Lecture", month = dec, year = "1950", bibdate = "Fri Apr 19 06:39:10 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Uhlenbeck:1952:TNM, author = "G. E. Uhlenbeck and C. S. Wang Chang", title = "Is There a Neutral $ \mu $-Meson?", journal = j-PHYS-REV-2, volume = "85", number = "4", pages = "684--684", month = feb, year = "1952", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.85.684", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Harary:1953:NHT, author = "Frank Harary and George E. Uhlenbeck", title = "On the number of {Husimi} trees. {I}", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "39", pages = "315--322", year = "1953", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.39.4.315", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", MRclass = "09.0X", MRnumber = "0053893", MRreviewer = "L. Van Hove", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.jstor.org/stable/88580", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", } @Article{Riddell:1953:TVD, author = "R. J. {Riddell, Jr.} and G. E. Uhlenbeck", title = "On the theory of the virial development of the equation of state of mono-atomic gases", journal = j-J-CHEM-PHYS, volume = "21", number = "11", pages = "2056--2064", day = "1", month = nov, year = "1953", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.1698742", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", MRclass = "80.1X", MRnumber = "0059207", MRreviewer = "L. Van Hove", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", fjournal = "The Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", } @TechReport{Uhlenbeck:1955:BE, author = "G. E. Uhlenbeck", title = "The {Boltzmann} Equation", type = "Report", institution = "Ft. Belvoir Defense Technical Information Center", address = "Fort Belvoir, VA, USA", pages = "23", month = jan, year = "1955", bibdate = "Thu Apr 18 14:37:37 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", } @Book{Uhlenbeck:1955:ONW, author = "G. E. Uhlenbeck", title = "Oude en nieuwe wagen der natuurkunde ({Dutch}) [Old and new ways of physics]", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "????", year = "1955", bibdate = "Wed Apr 24 10:05:52 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", language = "Dutch", xxnote = "I cannot find this book in library catalogs or online book sellers.", } @Article{Ford:1956:CPTa, author = "G. W. Ford and G. E. Uhlenbeck", title = "Combinatorial problems in the theory of graphs. {I}", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "42", pages = "122--128", year = "1956", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.42.3.122", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", MRclass = "56.0X", MRnumber = "0078683", MRreviewer = "G. A. Dirac", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", } @Article{Ford:1956:CPTb, author = "G. W. Ford and R. Z. Norman and G. E. Uhlenbeck", title = "Combinatorial problems in the theory of graphs. {II}", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "42", pages = "203--208", year = "1956", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.42.4.203", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", MRclass = "56.0X", MRnumber = "0078684", MRreviewer = "G. A. Dirac", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", } @Article{Ford:1956:CPTc, author = "G. W. Ford and G. E. Uhlenbeck", title = "Combinatorial problems in the theory of graphs. {III}", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "42", pages = "529--535", year = "1956", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.42.8.529", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", MRclass = "54.0X", MRnumber = "0080912", MRreviewer = "G. A. Dirac", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", } @Article{Uhlenbeck:1956:RPP, author = "G. E. Uhlenbeck", title = "Reminiscences of {Professor Paul Ehrenfest}", journal = j-AMER-J-PHYSICS, volume = "24", number = "6", pages = "431--433", month = sep, year = "1956", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.1934259", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Fri Apr 19 05:32:02 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", remark = "Cited in a list of memorable papers in this journal \cite{Romer:1991:EMP}.", } @Article{Ford:1957:CPT, author = "G. W. Ford and G. E. Uhlenbeck", title = "Combinatorial problems in the theory of graphs. {IV}", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "43", pages = "163--167", year = "1957", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.43.1.163", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", MRclass = "05.0X", MRnumber = "0086033", MRreviewer = "G. A. Dirac", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", } @InProceedings{Uhlenbeck:1958:U, author = "G. E. Uhlenbeck", editor = "????", booktitle = "Proceedings of the International Congress of Mathematics", title = "[unknown]", publisher = "????", address = "????", pages = "256--??", year = "1958", bibdate = "Wed Apr 24 10:47:29 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Pais:1959:QTT, author = "A. Pais and G. E. Uhlenbeck", title = "On the Quantum Theory of the Third Virial Coefficient", journal = j-PHYS-REV-2, volume = "116", number = "2", pages = "250--269", month = oct, year = "1959", CODEN = "PHRVAO", DOI = "https://doi.org/10.1103/physrev.116.250", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review", journal-URL = "https://journals.aps.org/pr/issues", } @Article{Uhlenbeck:1959:BRS, author = "George E. Uhlenbeck", title = "Book Review: {{\booktitle{Statistical Physics}}, Volume 5 of Course of Theoretical Physics. L. D. Landau and E. M. Lifshitz. Translated from the Russian by E. Peierls and R. F. Peierls. Pp. 484. Pergamon Press, Inc., London. Addison-Wesley Publishing Company, Inc., Reading, 1958}", journal = j-AMER-J-PHYSICS, volume = "27", number = "5", pages = "371--372", month = may, year = "1959", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.1934873", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Fri Apr 19 05:43:32 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/peierls-rudolf.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @InProceedings{Uhlenbeck:1959:U, author = "G. E. Uhlenbeck", title = "[unknown]", crossref = "Kac:1959:PRT", pages = "183--203", year = "1959", bibdate = "Tue Apr 23 15:52:03 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Uhlenbeck:1960:BRP, author = "G. E. Uhlenbeck", title = "Book Review: {{\booktitle{Paul Ehrenfest, Collected Scientific Papers}}. Martin J. Klein, Ed. Introduction by H. B. G. Casimir. North-Holland, Amsterdam; Interscience, New York, 1959. 632 pp. \$13.75}", journal = j-SCIENCE, volume = "131", number = "3408", pages = "1204--1204", month = apr, year = "1960", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.131.3408.1204", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Wed Apr 17 09:32:50 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.jstor.org/stable/1706196", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @InProceedings{Uhlenbeck:1960:LSM, author = "G. E. Uhlenbeck and G. W. Ford", title = "Lectures in Statistical Mechanics", crossref = "Kac:1960:PSS", volume = "1", pages = "??--??", year = "1960", bibdate = "Tue Apr 23 14:51:15 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "With an appendix on quantum statistics of interacting particles, by E. W. Montroll.", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Uhlenbeck:1960:SAM, author = "G. E. Uhlenbeck", title = "Successive approximation methods in classical statistical mechanics", journal = j-PHYSICA, volume = "26", number = "Supplement 1", pages = "S17--S29", year = "1960", CODEN = "PHYSAG", DOI = "https://doi.org/10.1016/0031-8914(60)90197-X", ISSN = "0031-8914 (print), 1873-1767 (electronic)", ISSN-L = "0031-8914", MRclass = "82.41", MRnumber = "0127299", MRreviewer = "W. Pressman", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica", journal-URL = "http://www.sciencedirect.com/science/journal/00318914/", } @InCollection{Uhlenbeck:1960:SFP, author = "G. E. Uhlenbeck", booktitle = "Proceedings of the International Congress of Mathematicians. 1958", title = "Some fundamental problems in statistical physics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "256--267", year = "1960", MRclass = "82.00", MRnumber = "0117957", MRreviewer = "P. G. Bergmann", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Uhlenbeck:1960:SRP, author = "George E. Uhlenbeck", title = "Some recent progress in statistical mechanics", journal = j-PHYS-TODAY, volume = "13", number = "7", pages = "16--21", month = jul, year = "1960", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.3057028", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Tue Apr 23 16:02:18 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", } @InProceedings{Uhlenbeck:1962:ANF, author = "G. E. Uhlenbeck", editor = "K. Hecht", booktitle = "{Physikertagung Dusseldorf (1964)}. ({German}) [{Physics} days Dusseldorf (1964)]", title = "{Alte und neue Fragen der statistischen mechanik}. ({German}) [{Old} and new questions of statistical mechanics]", publisher = "Deutsche Physikalische Gesellschaft, Physik Verlag", address = "Mosbach/Baden, West Germany", pages = "1--19", year = "1962", bibdate = "Tue Apr 23 15:54:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", language = "German", } @InCollection{Uhlenbeck:1962:SAK, author = "G. E. Uhlenbeck", booktitle = "Fluid Dynamics and Applied Mathematics (Proceedings of the Symposium, {University of Maryland}, 1961)", title = "Some aspects of kinetic theory", publisher = "Gordon and Breach", address = "New York, NY, USA", pages = "197--207", year = "1962", MRclass = "82.00", MRnumber = "0149894", MRreviewer = "G. Newell", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InCollection{Uhlenbeck:1962:TLG, author = "G. E. Uhlenbeck and G. W. Ford", title = "The theory of linear graphs with applications to the theory of the virial development of the properties of gases", crossref = "deBoer:1962:SSM", pages = "119--211", year = "1962", MRclass = "82.00", MRnumber = "0136382", MRreviewer = "R. Balescu", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kac:1963:VWT, author = "M. Kac and G. E. Uhlenbeck and P. C. Hemmer", title = "On the {van der Waals} Theory of the Vapor--Liquid Equilibrium. {I}. {Discussion} of a One-Dimensional Model", journal = j-J-MATH-PHYS, volume = "4", number = "2", pages = "216--228", month = feb, year = "1963", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.1703946", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82.99", MRnumber = "0148416", MRreviewer = "R. Zwanzig", bibdate = "Fri Oct 28 08:40:01 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v4/i2/p216_s1", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988); Mark Kac (1914--1984)", fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "22 December 2004", pagecount = "13", } @Article{Uhlenbeck:1963:BRQ, author = "G. E. Uhlenbeck", title = "Book Review: {{\booktitle{Quantum Mechanics. vol. 1, Old Quantum Theory}}. Sin-Itiro Tomonaga. Translated from the Japanese by Koshiba. North-Holland, Amsterdam; Interscience (Wiley), New York, 1962. xvi + 313 pp. Illus. \$12.50}", journal = j-SCIENCE, volume = "140", number = "3569", pages = "886--886", day = "24", month = may, year = "1963", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.140.3569.886", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Wed Apr 17 09:32:50 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.jstor.org/stable/1710612", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @InProceedings{Uhlenbeck:1963:KTD, author = "G. E. Uhlenbeck and G. W. Ford", editor = "????", booktitle = "Lectures in Statistical Mechanics", title = "The kinetic theory of dense gases", chapter = "7", publisher = pub-AMS, address = pub-AMS:adr, pages = "118--142", year = "1963", bibdate = "Tue Apr 23 15:57:19 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Book{Uhlenbeck:1963:LSM, author = "G. E. Uhlenbeck and G. W. Ford", title = "Lectures in Statistical Mechanics", volume = "1", publisher = pub-AMS, address = pub-AMS:adr, pages = "x + 181", year = "1963", ISBN = "0-8218-1101-0", ISBN-13 = "978-0-8218-1101-6", LCCN = "QC20 .S84 1960, v.1; QC175 .U31 1974", MRclass = "82.00", MRnumber = "0151255", MRreviewer = "R. Balescu", bibdate = "Thu Apr 18 10:16:19 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "With an appendix on quantum statistics of interacting particles by E. W. Montroll.", series = "Lectures in Applied Mathematics: proceedings of the Summer Seminar, Boulder, Colorado, 1960", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Book{Uhlenbeck:1963:SP, author = "G. E. Uhlenbeck and others", title = "Statistical Physics", volume = "3", publisher = "Benjamin", address = "New York, NY, USA", pages = "vii + 252", year = "1963", bibdate = "Thu Apr 18 10:14:26 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "Notes by N. Ranganthan and others.", series = "Brandeis University summer institute. Lectures in theoretical physics 1962", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InCollection{Uhlenbeck:1963:STS, author = "G. E. Uhlenbeck", booktitle = "Statistical Physics ({Brandeis Summer Institute}, 1962, Vol. 3)", title = "Selected Topics in Statistical Mechanics", publisher = pub-BENJAMIN, address = pub-BENJAMIN:adr, pages = "1--90", year = "1963", MRclass = "82.00", MRnumber = "0154660", MRreviewer = "D. ter Haar", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Uhlenbeck:1963:VWT, author = "G. E. Uhlenbeck and P. C. Hemmer and M. Kac", title = "On the {van der Waals} theory of the vapor--liquid equilibrium. {II}. {Discussion} of the distribution functions", journal = j-J-MATH-PHYS, volume = "4", number = "2", pages = "229--247", month = feb, year = "1963", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.1703947", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82.45", MRnumber = "0148417", MRreviewer = "R. Zwanzig", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v4/i2/p229_s1", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988); Mark Kac (1914--1984)", fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "22 December 2004", pagecount = "19", } @InCollection{Chang:1964:HCV, author = "C. S. Wang Chang and G. E. Uhlenbeck and J. de Boer", booktitle = "Studies in Statistical Mechanics", title = "The Heat Conductivity and Viscosity of Polyatomic Gases", volume = "2", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "241--268", year = "1964", MRclass = "82.00", MRnumber = "0169634", MRreviewer = "R. Balescu", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", remark = "Co-published with Interscience, New York, NY, USA.", } @InCollection{Chang:1964:Ua, author = "W. Chang and G. E. Uhlenbeck", title = "[unknown]", crossref = "Chang:1970:KTGb", pages = "17--??", year = "1964", bibdate = "Wed Apr 24 10:36:26 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Hemmer:1964:VWTa, author = "P. C. Hemmer and M. Kac and G. E. Uhlenbeck", title = "On the {van der Waals} Theory of the Vapor--Liquid Equilibrium. {III}. {Discussion} of the Critical Region", journal = j-J-MATH-PHYS, volume = "5", number = "1", pages = "60--74", month = jan, year = "1964", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.1704065", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82.41", MRnumber = "0157692", bibdate = "Fri Oct 28 08:40:09 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v5/i1/p60_s1", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988); Mark Kac (1914--1984)", fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "22 December 2004", pagecount = "15", } @Book{Uhlenbeck:1964:VWR, author = "G. E. (George Eug{\`e}ne) Uhlenbeck", title = "{Van der Waals} revisited: rede", publisher = "Noord-Hollandsche Uitgevers Maatschappij", address = "Amsterdam, The Netherlands", pages = "16", year = "1964", LCCN = "????", bibdate = "Wed Apr 24 10:31:13 MDT 2019", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", language = "Dutch", remark = "Rede uitgesproken bij de aanvaarding van het bijzonder gasthoogleraarschap in de natuurkunde, de Van der Waals leerstoel, aan de Universiteit van Amsterdam op maandag 13 april 1964. (Dutch) [Acceptance speech for the special guest professorship in physics, the van der Waals chair, at the University of Amsterdam on Monday, 13 April 1964]", } @InCollection{Wang:1964:U, author = "C. S. Wang and G. E. Uhlenbeck", title = "[unknown]", crossref = "deBoer:1964:SSM", pages = "743--??", year = "1964", bibdate = "Wed Apr 24 10:36:26 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", } @InProceedings{Uhlenbeck:1965:CPV, author = "G. E. Uhlenbeck and P. C. Hemmer", title = "On critical phenomena in a {van der Waals} gas", crossref = "Meixner:1965:SME", pages = "241--252", year = "1965", MRclass = "82.00", MRnumber = "0189704", MRreviewer = "G. S. Joyce", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Book{Ulenbek:1965:LPS, author = "D{\v{z}}. Ulenbek and D{\v{z}}. Ford", title = "Lekcii po statisti{\v{c}}eskoj mechanik. ({Russian}) [{Lectures} on statistical mechanics]", publisher = "Izdatelsvo Mir", address = "Moscow, USSR", pages = "307", year = "1965", bibdate = "Thu Apr 18 11:08:16 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", language = "Russian", remark = "Translation to Russian by I. A. Kvasnikova from English original \cite{Uhlenbeck:1963:LSM}.", } @InProceedings{Uhlenbeck:1966:SSM, author = "G. E. Uhlenbeck", editor = "????", booktitle = "{Proceedings 1966 Midwest Conference on Theoretical Physics (Indiana University, Bloomington, IN, 1966)}", title = "Structure of statistical mechanics", publisher = "????", address = "????", pages = "1--12", year = "1966", bibdate = "Tue Apr 23 15:58:25 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Foch:1967:PSM, author = "J. Foch and G. E. Uhlenbeck", title = "Propagation of Sound in Monatomic Gases", journal = j-PHYS-REV-LET, volume = "19", number = "18", pages = "1025--1027", month = oct, year = "1967", CODEN = "PRLTAO", DOI = "https://doi.org/10.1103/physrevlett.19.1025", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physical Review Letters", journal-URL = "http://prl.aps.org/browse", } @InCollection{Uhlenbeck:1967:SES, author = "G. E. Uhlenbeck and S. Goudsmit", editor = "W. R. (William Russell) Hindmarsh", booktitle = "Atomic Spectra", title = "Spinning Electrons and the Structure of Spectra", publisher = pub-PERGAMON, address = pub-PERGAMON:adr, pages = "253--258", year = "1967", DOI = "https://doi.org/10.1016/B978-0-08-012103-1.50022-0", ISBN = "0-08-012103-9, 1-4831-5580-3 (e-book)", ISBN-13 = "978-0-08-012103-1, 978-1-4831-5580-7 (e-book)", LCCN = "QC454 .H626 1967", bibdate = "Wed Apr 17 07:33:30 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "Published in Nature {\bf 117}, 264 (1926).", series = "The Commonwealth and International Library: Selected Readings in Physics", URL = "http://www.sciencedirect.com/science/article/pii/B9780080121031500220", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", subject = "Atomic spectroscopy; Science; Physics; Quantum Theory; Atomic spectroscopy; Atomaire spectrometrie; Atoomspectra; Atomspektrum", } @Article{Emrich:1968:TPF, author = "Raymond J. Emrich and Howard A. Snyder and George E. Uhlenbeck", title = "Teaching of Physics of Fluids in {U.S.} Colleges and Universities", journal = j-AMER-J-PHYSICS, volume = "36", number = "10", pages = "886--895", month = oct, year = "1968", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.1974302", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Fri Apr 19 05:33:34 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @InProceedings{Uhlenbeck:1968:OSM, author = "G. E. Uhlenbeck", title = "An outline of statistical mechanics", crossref = "Cohen:1968:FPS", pages = "1--29", year = "1968", bibdate = "Tue Apr 23 16:06:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Putterman:1969:TER, author = "Seth Putterman and George E. Uhlenbeck", title = "Thermodynamic equilibrium of rotating superfluids", journal = j-PHYS-FLUIDS, volume = "12", number = "11", pages = "2299--2236", month = nov, year = "1969", CODEN = "PHFLE6", DOI = "https://doi.org/10.1063/1.1692335", ISSN = "1070-6631", ISSN-L = "1070-6631", bibdate = "Tue Apr 23 15:09:15 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "The Physics of Fluids", journal-URL = "http://scitation.aip.org/content/aip/journal/pof1", } @InCollection{Chang:1970:KTGa, author = "C. S. Wang Chang and G. E. Uhlenbeck", title = "The kinetic theory of a gas in alternating outside force fields: A generalization of the {Rayleigh} problem", crossref = "Chang:1970:KTGb", pages = "76--98", year = "1970", bibdate = "Thu Apr 18 10:35:06 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InCollection{Chang:1970:PSM, author = "C. S. Wang Chang and G. E. Uhlenbeck", title = "On the propagation of sound in monatomic gases", crossref = "Chang:1970:KTGb", pages = "43--68", year = "1970", bibdate = "Tue Apr 23 15:45:37 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InCollection{Chang:1970:TPR, author = "C. S. Wang Chang and G. E. Uhlenbeck", title = "On the transport phenomena in rarified gases", crossref = "Chang:1970:KTGb", pages = "116--??", year = "1970", bibdate = "Tue Apr 23 15:45:37 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InCollection{Chang:1970:Ub, author = "W. Chang and G. E. Uhlenbeck", title = "[unknown]", crossref = "Chang:1970:KTGb", pages = "27--??", year = "1970", bibdate = "Wed Apr 24 10:36:26 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fox:1970:CNE, author = "Ronald Forrest Fox and George E. Uhlenbeck", title = "Contributions to non-equilibrium thermodynamics. {I}. {Theory} of hydrodynamical fluctuations", journal = j-PHYS-FLUIDS, volume = "13", number = "8", pages = "1893--1902", month = aug, year = "1970", CODEN = "PHFLE6", DOI = "https://doi.org/10.1063/1.1693183", ISSN = "1070-6631", ISSN-L = "1070-6631", MRclass = "76.60", MRnumber = "0270633", MRreviewer = "T. Koga", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "The Physics of Fluids", journal-URL = "http://scitation.aip.org/content/aip/journal/pof1", } @Article{Fox:1970:CNT, author = "Ronald Forrest Fox and George E. Uhlenbeck", title = "Contributions to nonequilibrium thermodynamics. {II}. {Fluctuation} theory for the {Boltzmann} equation", journal = j-PHYS-FLUIDS, volume = "13", number = "12", pages = "2881--2890", month = dec, year = "1970", CODEN = "PHFLE6", DOI = "https://doi.org/10.1063/1.1692878", ISSN = "1070-6631", ISSN-L = "1070-6631", MRclass = "82.62", MRnumber = "0319515", MRreviewer = "T. Koga", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "The Physics of Fluids", journal-URL = "http://scitation.aip.org/content/aip/journal/pof1", } @Article{Uhlenbeck:1971:SMQ, author = "G. E. Uhlenbeck", title = "Statistical Mechanics and Quantum Mechanics", journal = j-NATURE, volume = "232", number = "5311", pages = "449--450", day = "1", month = aug, year = "1971", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/232449a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Wed Apr 17 09:41:38 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", } @Article{Uhlenbeck:1971:SQA, author = "G. E. Uhlenbeck", title = "Some questions about quantum statistical mechanics", journal = j-PHYS-NORVEG, volume = "5", number = "??", pages = "139--144", month = "????", year = "1971", CODEN = "PHNOAH", ISSN = "0031-8930", bibdate = "Tue Apr 23 15:00:47 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physica Norvegica", } @Article{Foch:1972:TSP, author = "James D. {Foch, Jr.} and George E. Uhlenbeck and Manuel {Fuentes Losa}", title = "Theory of sound propagation in mixtures of monatomic gases", journal = j-PHYS-FLUIDS, volume = "15", number = "7", pages = "1224--1232", month = jul, year = "1972", CODEN = "PHFLE6", DOI = "https://doi.org/10.1063/1.1694071", ISSN = "1070-6631", ISSN-L = "1070-6631", bibdate = "Tue Apr 23 15:48:39 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "The Physics of Fluids", journal-URL = "http://scitation.aip.org/content/aip/journal/pof1", } @Article{Putterman:1972:POQ, author = "Seth J. Putterman and Mark Kac and George E. Uhlenbeck", title = "Possible Origin of the Quantized Vortices in {He II}", journal = j-PHYS-REV-LET, volume = "29", number = "9", pages = "546--549", month = aug, year = "1972", CODEN = "PRLTAO", DOI = "https://doi.org/10.1103/physrevlett.29.546", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", bibdate = "Tue Apr 16 19:06:28 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988); Mark Kac (1914--1984)", fjournal = "Physical Review Letters", journal-URL = "http://prl.aps.org/browse", } @Article{Uhlenbeck:1973:BRM, author = "G. E. Uhlenbeck", title = "Book Review: {{\booktitle{Mathematical Theory of Transport Processes in Gases}} (J. H. Ferziger and H. G. Kaper)}", journal = j-SIAM-REVIEW, volume = "15", number = "4", pages = "804--805", month = "????", year = "1973", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1015116", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:54 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/15/4; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "October 1973", } @InProceedings{Uhlenbeck:1973:PSP, author = "George E. Uhlenbeck", title = "Problems of Statistical Physics", crossref = "Mehra:1973:PCN", chapter = "25", pages = "501--513", year = "1973", bibdate = "Tue Apr 23 15:03:05 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InCollection{Uhlenbeck:1973:VLB, author = "G. E. Uhlenbeck", title = "The Validity and the Limitations of the {Boltzmann} Equation", crossref = "Cohen:1973:BET", pages = "107--119", year = "1973", DOI = "https://doi.org/10.1007/978-3-7091-8336-6_5", bibdate = "Thu Apr 18 15:24:22 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "See comment \cite{Cercignani:1973:CPU}.", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InProceedings{Uhlenbeck:1974:SPK, author = "G. E. Uhlenbeck", title = "Some problems in the kinetic theory of dilute gases", crossref = "Anonymous:1974:RGD", pages = "3--18", year = "1974", bibdate = "Tue Apr 23 16:14:05 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Fox:1976:CNTb, author = "R. F. Fox and G. E. Uhlenbeck", title = "Contributions to nonequilibrium thermodynamics {II}. Fluctuation theory for the {Boltzmann} equation", journal = j-PHYS-FLUIDS, volume = "13", number = "??", pages = "2881--2890", month = "????", year = "1976", CODEN = "PHFLE6", DOI = "https://doi.org/10.1063/1.1692878", ISSN = "1070-6631", ISSN-L = "1070-6631", bibdate = "Tue Apr 23 15:33:55 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "The Physics of Fluids", journal-URL = "http://scitation.aip.org/content/aip/journal/pof1", } @Article{Uhlenbeck:1976:FYS, author = "George E. Uhlenbeck", title = "Fifty years of spin: Personal reminiscences", journal = j-PHYS-TODAY, volume = "29", number = "6", pages = "43--48", month = jun, year = "1976", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.3023518", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Thu Aug 09 09:39:11 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://www.physicstoday.org/resource/1/phtoad/v29/i6/p40_s1", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", } @Article{Ziff:1977:IBE, author = "R. M. Ziff and G. E. Uhlenbeck and M. Kac", title = "The ideal {Bose--Einstein} gas --- revisited", journal = j-PHYS-REP, volume = "32C", number = "4", pages = "169--248", year = "1977", CODEN = "PRPLCM", DOI = "https://doi.org/10.1016/0370-1573(77)90052-7", ISSN = "0370-1573 (print), 1873-6270 (electronic)", ISSN-L = "0370-1573", MRclass = "82.00", MRnumber = "0468945", MRreviewer = "Michel Romerio", bibdate = "Thu Apr 18 10:59:21 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988); Mark Kac (1914--1984)", fjournal = "Physics Reports. A Review Section of Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/03701573", xxvolume = "32", } @Article{Julenbek:1978:R, author = "D{\v{z}}ord{\v{z}} Julenbek", title = "Reminiscences", journal = "Bulgarska Akademiya na Naukite Fizicheski Institut. Matematicheski Institut. Fiziko-Matematichesko Spisanie", volume = "21(54)", number = "2", pages = "112--121", year = "1978", ISSN = "0015-3265", MRclass = "01A70", MRnumber = "525794", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "Translated by N. Ahababjan.", acknowledgement = ack-nhfb, ajournal = "Fiz.-Mat. Spis. Bulgar. Akad. Nauk.", author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Bulgarska Akademiya na Naukite Fizicheski Institut. Matematicheski Institut. Fiziko-Matematichesko Spisanie", } @InCollection{Uhlenbeck:1978:SHC, author = "George E. Uhlenbeck", booktitle = "The {Ta-You Wu Festschrift}: Science of matter", title = "Some historical and critical remarks about the theory of phase transitions", publisher = "Gordon \& Breach", address = "New York, NY, USA; Paris, France; London, UK", pages = "99--107", year = "1978", MRclass = "01A60 (82-03)", MRnumber = "547030", MRreviewer = "J. S. Joel", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InCollection{Uhlenbeck:1980:SNR, author = "G. E. Uhlenbeck", booktitle = "Annual Review of Fluid Mechanics", title = "Some Notes on the Relation Between Fluid Mechanics and Statistical Physics", volume = "12", publisher = "Annual Reviews", address = "Palo Alto, CA, USA", pages = "1--9", year = "1980", MRclass = "82-03 (01A70 76-03)", MRnumber = "565387", MRreviewer = "R. K. Jain", bibdate = "Thu Apr 18 11:14:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @InProceedings{Uhlenbeck:1980:SRA, author = "George E. Uhlenbeck", title = "Some reminiscenses about {Einstein}'s visits to {Leiden}", crossref = "Woolf:1980:SSP", chapter = "21", pages = "524--525", year = "1980", bibdate = "Tue Aug 07 08:37:28 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Uhlenbeck:1980:TT, author = "George E. Uhlenbeck", title = "Time for thought", journal = j-NATURE, volume = "288", number = "5788", pages = "305--306", day = "20", month = nov, year = "1980", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/288305a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Wed Apr 17 09:41:38 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", } @InCollection{Uhlenbeck:1984:SES, author = "G. E. Uhlenbeck and S. Goudsmit and Niels Bohr", editor = "Klaus Stolzenburg", booktitle = "The Emergence of Quantum Mechanics (Mainly 1924--1926)", title = "Spinning Electrons and the Structure of Spectra", chapter = "VI", volume = "5", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "287--289", year = "1984", DOI = "https://doi.org/10.1016/S1876-0503(08)70535-8", ISSN = "1876-0503", bibdate = "Wed Apr 17 08:00:56 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Niels Bohr Collected Works", URL = "http://www.sciencedirect.com/science/article/pii/S1876050308705358", abstract = "This chapter presents letters by G. E. Uhlenbeck, S. Goudsmit, and Niels Bohr regarding spinning electrons and the structure of spectra.", acknowledgement = ack-nhfb, author-dates = "Niels Bohr (1885--1962); Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Book{Uhlenbeck:1986:LSM, author = "G. E. Uhlenbeck and G. W. Ford", title = "Lectures in Statistical Mechanics", volume = "1", publisher = pub-AMS, address = pub-AMS:adr, pages = "x + 181", year = "1986", ISBN = "0-8218-1101-0", ISBN-13 = "978-0-8218-1101-6", LCCN = "QC20 .S84 1960, v.1; QC175 .U31 1974", bibdate = "Thu Apr 18 10:16:19 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "With an appendix by E. W. Montroll.", series = "Lectures in Applied Mathematics: proceedings of the Summer Seminar, Boulder, Colorado, 1960", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", remark = "Third printing, with corrections, of \cite{Uhlenbeck:1963:LSM}.", }

%%% ==================================================================== %%% Part 2 (of 2) --- publications about George E. Uhlenbeck %%% %%% Entries are sorted by year, and then by citation label, with %%% ``bibsort --byyear''. %%% %%% WARNING 1: some entries that refer to `Uhlenbeck' may be meant for %%% biochemist Olke C. Uhlenbeck (George's son), or for Karen Uhlenbeck %%% (Olke's former spouse (1965--1978), and winner of the 2019 Abel %%% Prize in Mathematics). %%% %%% WARNING 2: The MathSciNet database in April 2019 lists 1063 %%% publications with both Ornstein and Uhlenbeck in their titles: only %%% a few of them are included here.

@Article{Thomas:1926:MSE, author = "L. H. (Llewellyn Hilleth) Thomas", title = "The Motion of the Spinning Electron", journal = j-NATURE, volume = "117", number = "2945", pages = "514--514", day = "10", month = apr, year = "1926", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/117514a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Wed Apr 24 06:37:04 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", remark = "This paper introduces a relativistic correction that explains a missing factor of two in the Zeeman splitting predicted by Uhlenbeck and Goudsmit \cite{Uhlenbeck:1926:SES}.", } @Article{Anonymous:1938:CNP, author = "Anonymous", title = "{Columbia} Names 55 as Professors: {H. D. Gideonse} Gets Economics Post at {Barnard} ---- {E. A. Lee} on Teachers College Staff. 2 Named as Associates. 27 Assistants, 12 Clinical and 12 Visiting Professors Complete List", journal = j-NY-TIMES, volume = "??", number = "??", pages = "20--20", day = "20", month = oct, year = "1938", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Thu Apr 25 12:57:39 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://search.proquest.com/hnpnewyorktimes/docview/102387271/", acknowledgement = ack-nhfb, fjournal = "New York Times", journal-URL = "http://www.nytimes.com/", remark = "George Uhlenbeck, Professor of Theoretical Physics at the University of Utrecht, is listed as Visiting Professor of Physics at Columbia University.", } @InCollection{Lorentz:1936:U, author = "H. A. Lorentz", booktitle = "{H. A. Lorentz}: Collected Works", title = "[unknown]", volume = "7", publisher = "Nyhoff", address = "The Hague, The Netherlands", pages = "179--??", year = "1936", bibdate = "Tue Apr 23 17:15:05 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, remark = "According to \cite[page 302]{Pais:2000:GSP}, this was Lorentz's last publication, presented at the September 1927 Como Congress. It deals with the computation of the radius of a spinning electron, as a followup to the Uhlenbeck and Goudsmit paper on electron spin \cite{Uhlenbeck:1925:EHU}.", } @Article{Anonymous:1938:DWD, author = "Anonymous", title = "{Dr. W. D. Ross} Named to {Columbia} Post: {Oriel College Provost, Oxford}, to Be {Visiting Professor of Philosophy} Next Year 8. Other Appointments: {Dr. G. E. Uhlenbeck of Utrecht, Holland} and {Dr. R. T. Ely} Added to Faculty", journal = j-NY-TIMES, volume = "??", number = "??", pages = "47--47", day = "15", month = may, year = "1938", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Thu Apr 25 12:48:56 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://search.proquest.com/hnpnewyorktimes/docview/102557946/", acknowledgement = ack-nhfb, fjournal = "New York Times", journal-URL = "http://www.nytimes.com/", remark = "Reports the appointment of George Uhlenbeck as Visiting Professor of Theoretical Physics at Columbia University.", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Benford:1938:LAN, author = "Frank Benford", title = "The Law of Anomalous Numbers", journal = j-PROC-AMER-PHIL-SOC, volume = "78", number = "4", pages = "551--572", month = mar, year = "1938", CODEN = "PAPCAA", ISSN = "0003-049X (print), 2326-9243 (electronic)", ISSN-L = "0003-049X", bibdate = "Thu Feb 15 16:28:28 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib", note = "See comments about Benford's biased rounding practices \cite{Diaconis:1979:RP}.", URL = "http://links.jstor.org/sici?sici=0003-049X%2819380331%2978:4%3C551:TLOAN%3E2.0.CO%3B2-G", ZMnumber = "JFM 64.0555.03; Zbl 0018.26502", abstract = "It has been observed that the first pages of a table of common logarithms show more wear than do the last pages, indicating that more used numbers begin with the digit 1 than with the digit 9. A compilation of some 20,000 first digits taken from widely divergent sources shows that there is a logarithmic distribution of first digits when the numbers are composed of four or more digits. An analysis of the numbers from different sources shows that the numbers taken from unrelated subjects, such as a group of newspaper items, show a much better agreement with a logarithmic distribution than do numbers from mathematical tabulations or other formal data. There is here the peculiar fact that numbers that individually are without relationship are, when considered in large groups, in good agreement with a distribution law---hence the name ``Anomalous Numbers.''\par A further analysis of the data shows a strong tendency for bodies of numerical data to fall into geometric series. If the series is made up of numbers containing three or more digits the first digits form a logarithmic series. If the numbers contain only single digits the geometric relation still holds but the simple logarithmic relation no longer applies.\par An equation is given showing the frequencies of first digits in the different orders of numbers 1 to 10, 10 to 100, etc.\par The equation also gives the frequency of digits in the second, third + place of a multi-digit number, and it is shown that the same law applies to reciprocals.\par There are many instances showing that the geometric series, or the logarithmic law, has long been recognized as a common phenomenon in factual literature and in the ordinary affairs of life. The wire gauge and drill gauge of the mechanic, the magnitude scale of the astronomer and the sensory response curves of the psychologist are all particular examples of a relationship that seems to extend to all human affairs. The Law of Anomalous Numbers is thus a general probability law of widespread application.", acknowledgement = ack-nhfb, author-dates = "1883--December 4, 1948", fjournal = "Proceedings of the {American Philosophical Society} held at {Philadelphia} for promoting useful knowledge", journal-URL = "http://www.jstor.org/journal/procamerphilsoci", keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law", remark = "From \cite{Logan:1978:FDP}: ``Benford's paper was published in 1938 in a journal of rather limited circulation and not usually read by mathematicians. It so happened that it was immediately followed in the same issue by a physics paper which became of some importance for secret nuclear work during World War II [H. A. Bethe, M. E. Rose, and L. P. Smith, `The Multiple Scattering of Electrons', Proc. Amer. Phil. Soc. 78(4), 573--585 (1938)]. That is why Benford's paper caught the attention of physicists in the early 1940's and was much discussed. This led to the notes in Nature by Goudsmit and Furry [3] and Furry and Hurwitz [4] containing an effort to explain Benford's law. We considered it at that time merely a welcome diversion and did not expect that over thirty papers would be devoted to this subject in subsequent years.'' The 2006 bibliography \cite{Hurlimann:2006:BLB} cites 325 publications about Benford's Law.", xxURL = "http://en.wikipedia.org/wiki/Frank_Benford", } @Article{Bloch:1944:RUL, author = "L{\'e}on Bloch", title = "Sur la relation de {Uhlenbeck} et {Laporte} pour le photon", journal = j-C-R-ACAD-SCI-PARIS, volume = "219", pages = "674--675", year = "1944", MRclass = "81.0X", MRnumber = "0014359", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", journal-URL = "http://gallica.bnf.fr/ark:/12148/cb343481087/date", } @Article{Goudsmit:1944:SFN, author = "S. A. Goudsmit and W. H. Furry", title = "Significant Figures of Numbers in Statistical Tables", journal = j-NATURE, volume = "154", number = "3921", pages = "800--801", day = "23", month = dec, year = "1944", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/154800a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sun Sep 18 11:57:19 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib", note = "See later work \cite{Logan:1978:FDP}, and severe criticism \cite{Raimi:1976:FDP,Raimi:1985:FDP}.", URL = "http://www.nature.com/nature/journal/v154/n3921/pdf/154800a0.pdf", abstract = "A rough qualitative explanation of this fact can easily be given. If we consider tables in which the entries become rarer the larger they are, we can draw the obvious conclusion that in any interval, say, between 10 and 99, or 10,000 and 99,999, there are more entries on the small side than on the large side.", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (July 11, 1902--December 4, 1978)", fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law", remark = "In 1925, Samuel Goudsmit and George Uhlenbeck proposed the concept of electron spin, a critical step forward in the quantum mechanics of many-electron systems. Surprisingly, that work did not get them the Nobel Prize, but it did spur Wolfgang Pauli to present his Exclusion Principle in 1925, for which he received the 1945 Nobel Prize in Physics. After World War II, Goudsmit was the scientific head of the Alsos mission to capture German nuclear scientists. In the 1950s, he founded the journal Physical Review Letters. During the 1960s and 1970s, he was Editor-in-Chief of the main American physics journal, the Physical Review.", } @Article{Green:1950:RPR, author = "H. S. Green", title = "Remarks on a paper by {Riddell} and {Uhlenbeck}", journal = j-J-CHEM-PHYS, volume = "18", pages = "1123--1124", year = "1950", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.1747892", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", MRclass = "80.1X", MRnumber = "0039623", MRreviewer = "E. Montroll", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "The Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Anonymous:1954:RES, author = "Anonymous", title = "Research: Electron Spin Pioneers Honored: ``Discoverer'' of a concept may be the man who happened to propose the idea when the world was ready to accept it, says {Research Corp.} award winner {Goudsmit}", journal = j-CHEM-ENG-NEWS, volume = "32", number = "6", pages = "480--486", month = feb, year = "1954", CODEN = "CENEAR", DOI = "https://doi.org/10.1021/cen-v032n006.p480", ISSN = "0009-2347 (print), 1520-605X (electronic)", ISSN-L = "0009-2347", bibdate = "Fri Apr 19 06:21:22 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Chemical \& Engineering News", journal-URL = "http://pubs.acs.org/loi/cenear", subject-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Anonymous:1954:SWH, author = "Anonymous", title = "Scientists' Work of 1925 Honored: {Research Corporation} Gives Award to 2 {Dutch} Physicists for Key to Atomic Theory", journal = j-NY-TIMES, volume = "??", number = "??", pages = "13--13", day = "23", month = jan, year = "1954", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Mon Apr 22 18:29:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://search.proquest.com/hnpnewyorktimes/docview/112966315/", acknowledgement = ack-nhfb, fjournal = "New York Times", journal-URL = "http://www.nytimes.com/", remark = "From the article: ``The award was described as the first public recognition of their [Uhlenbeck and Goudsmit's] research, which was cited as `a cornerstone of present atomic theory'.''", subject-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Laurence:1956:PGS, author = "William L. Laurence", title = "Physics Goal Set by {Oppenheimer}: Atomic Scientist Envisions Quest for Explaining New Order in the Universe Questions to Be Answered Obligations for the Teacher", journal = j-NY-TIMES, volume = "??", number = "??", pages = "13--13", day = "3", month = feb, year = "1956", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Tue Oct 20 14:05:22 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/o/oppenheimer-j-robert.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://search.proquest.com/hnpnewyorktimes/docview/113908716/", acknowledgement = ack-nhfb, fjournal = "New York Times", journal-URL = "http://www.nytimes.com/", remark = "The story reports the award of the Oersted Medal of the American Association of Physics Teachers to George Uhlenbeck of the University of Michigan.", subject-dates = "J. Robert Oppenheimer (1904--1967); George E. Uhlenbeck (1900--1988)", } @Article{Laurence:1958:SRD, author = "William L. Laurence", title = "Science in Review: Discoveries on the Frontiers of Physics Are Explained at a {Harvard} Conference", journal = j-NY-TIMES, volume = "??", number = "??", pages = "E9--E9", day = "30", month = mar, year = "1958", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Mon Apr 22 18:45:24 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://search.proquest.com/hnpnewyorktimes/docview/114447661/", acknowledgement = ack-nhfb, fjournal = "New York Times", journal-URL = "http://www.nytimes.com/", remark = "From the article: ``In 1925 two young students of theoretical physics at Leiden University in Holland, named Samuel Goudsmit and George Uhlenbeck, both in their early twenties, published a suggestion to explain a small detail in the spectrum of atoms which stood in the way of a satisfactory understanding of the aomt's constitution.''", subject-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Striebel:1958:EET, author = "Charlotte T. Striebel", title = "On the Efficiency of Estimates of Trend in the {Ornstein--Uhlenbeck} Process", journal = j-ANN-MATH-STAT, volume = "29", number = "1", pages = "192--200", month = mar, year = "1958", CODEN = "AASTAD", DOI = "https://doi.org/10.1214/aoms/1177706716", ISSN = "0003-4851 (print), 2168-8990 (electronic)", ISSN-L = "0003-4851", MRclass = "62.00", MRnumber = "0093885 (20 \#405)", MRreviewer = "H. B. Mann", bibdate = "Sat May 31 09:10:53 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annmathstat.bib", URL = "http://projecteuclid.org/euclid.aoms/1177706716", acknowledgement = ack-nhfb, fjournal = "Annals of Mathematical Statistics", journal-URL = "http://projecteuclid.org/all/euclid.aoms/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bush:1960:RPP, author = "Kenneth A. Bush", title = "Recent Publications: {{\em Probability and Related Topics in Physical Sciences}}, by {Marc Kac, G. E. Uhlenbeck, A. R. Hibbs, and B. van der Pol}", journal = j-AMER-MATH-MONTHLY, volume = "67", number = "6", pages = "606--607", month = jun # "\slash " # jul, year = "1960", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:35:58 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.jstor.org/stable/2309209", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", subject-dates = "George E. Uhlenbeck (1900--1988); Mark Kac (1914--1984)", } @InCollection{Kronig:1960:TP, author = "Ralph Kronig", title = "The turning point", crossref = "Fierz:1960:TPT", pages = "??--??", year = "1960", bibdate = "Thu Apr 25 18:28:37 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, remark = "This is Kronig's account of the discovery of electron spin.", } @Article{Brittin:1962:BRS, author = "W. E. Brittin", title = "Book Review: {{\booktitle{Studies in Statistical Mechanics}}. vol. 1. J. De Boer and G. E. Uhlenbeck, Eds. North-Holland, Amsterdam; Interscience (Wiley), New York, 1962. x + 350 pp. \$13.75}", journal = j-SCIENCE, volume = "138", number = "3544", pages = "965--965", month = nov, year = "1962", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.138.3544.965", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Wed Apr 17 09:21:08 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Doyle:1962:DCN, author = "Worthie Doyle and J. A. McFadden and Imanuel Marx", title = "The Distribution of a Certain Nonlinear Functional of an {Ornstein--Uhlenbeck} Process", journal = j-J-SIAM, volume = "10", number = "2", pages = "381--393", month = jun, year = "1962", CODEN = "JSIMAV", ISSN = "0368-4245 (print), 1095-712X (electronic)", bibdate = "Thu Oct 15 18:16:06 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{McLennan:1962:BRS, author = "J. A. McLennan", title = "Book Review: {{\booktitle{Studies in Statistical Mechanics. Vol. 1}}, J. de Boer and G. E. Uhlenbeck, Editors. Pp. 350, Vol. 1. Interscience Division, John Wiley \& Sons, Inc., New York, 1962}", journal = j-AMER-J-PHYSICS, volume = "30", number = "11", pages = "848--848", month = nov, year = "1962", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.1941831", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Fri Apr 19 05:38:00 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Buff:1963:BRS, author = "Frank P. Buff", title = "Book Review: {{\booktitle{Studies in Statistical Mechanics}}, Volume I by J. De Boer and G. E. Uhlenbeck}", journal = j-AM-SCI, volume = "51", number = "1", pages = "102A-103A", month = mar, year = "1963", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Wed Apr 24 14:32:23 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.jstor.org/stable/27838664", acknowledgement = ack-nhfb, fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Reich:1963:RPP, author = "Edgar Reich", title = "Recent Publications and Presentations: {{\booktitle{Studies in Statistical Mechanics}}, Volume I, by J. De Boer and G. E. Uhlenbeck}", journal = j-AMER-MATH-MONTHLY, volume = "70", number = "6", pages = "684--685", month = jun # "\slash " # jul, year = "1963", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:09 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Anonymous:1964:UPR, author = "Anonymous", title = "2 {U.S.} Physicists to Receive International Science Medal", journal = j-NY-TIMES, volume = "??", number = "??", pages = "12--12", day = "17", month = jun, year = "1964", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Mon Apr 22 17:58:44 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://search.proquest.com/hnpnewyorktimes/docview/115824554/", acknowledgement = ack-nhfb, fjournal = "New York Times", journal-URL = "http://www.nytimes.com/", remark = "George Uhlenbeck and Samuel Goudsmit receive the Max Planck Medal of the German Physical Society.", subject-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{S:1964:BRT, author = "D. S.", title = "Book Review: {{\booktitle{The Theory of Linear Graphs with Applications to the Theory of the Virial Development of the Properties of Gases}} by G. E. Uhlenbeck, G. W. Ford}", journal = j-MATH-COMPUT, volume = "18", number = "86", pages = "338--338", month = apr, year = "1964", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2003333", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Wed Apr 24 14:26:20 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; JSTOR database", URL = "https://www.jstor.org/stable/2003333", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Finkelstein:1966:KLW, author = "Leib Finkelstein and S. Harris", title = "Kernel of the linearized {Wang} {Chang}---{Uhlenbeck} collision operator", journal = j-PHYS-FLUIDS, volume = "9", pages = "8--11", year = "1966", CODEN = "PHFLE6", DOI = "https://doi.org/10.1063/1.1761535", ISSN = "0031-9171", ISSN-L = "1070-6631", MRclass = "82.45 (76.00)", MRnumber = "0210421", MRreviewer = "J. K. Thurber", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "The Physics of Fluids", journal-URL = "http://scitation.aip.org/content/aip/journal/pof1", } @Article{Garcia-Colin:1966:GCU, author = "Leopoldo S. Garc{\'\i}a-Col{\'\i}n and Asdr{\'u}bal Flores", title = "The Generalization of {Choh--Uhlenbeck}'s Method in the Kinetic Theory of Dense Gases", journal = j-J-MATH-PHYS, volume = "7", number = "2", pages = "254--259", month = feb, year = "1966", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.1704927", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82.35", MRnumber = "0195524", MRreviewer = "J. R. Dorfman", bibdate = "Fri Oct 28 11:54:47 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1965.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v7/i2/p254_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "9 December 2004", pagecount = "6", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kozak:1966:BRS, author = "John J. Kozak", title = "Book Review: {{\booktitle{Studies in Statistical Mechanics}}, Vol. II by J. de Boer and G. E. Uhlenbeck}", journal = j-AM-SCI, volume = "54", number = "1", pages = "143A-144A", month = mar, year = "1966", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Wed Apr 24 14:30:07 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.jstor.org/stable/27836374", acknowledgement = ack-nhfb, fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Book{Kuhn:1967:SHQ, author = "Thomas S. Kuhn and John L. Heilbron and Paul Forman and Lini Allen", title = "Sources for history of quantum physics: an inventory and report", volume = "68", publisher = pub-AMERICAN-PHILOSOPHICAL-SOCIETY, address = pub-AMERICAN-PHILOSOPHICAL-SOCIETY:adr, pages = "ix + 176", year = "1967", LCCN = "QC174.1 .S66", bibdate = "Mon Jun 11 07:37:52 MDT 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib; https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/d/debroglie-louis.bib; https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; https://www.math.utah.edu/pub/bibnet/authors/m/meitner-lise.bib; https://www.math.utah.edu/pub/bibnet/authors/o/oppenheimer-j-robert.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutherford-ernest.bib; https://www.math.utah.edu/pub/bibnet/authors/s/schroedinger-erwin.bib; https://www.math.utah.edu/pub/bibnet/authors/s/sommerfeld-arnold.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; z3950.loc.gov:7090/Voyager", series = "Memoirs of the American Philosophical Society", URL = "http://www.amphilsoc.org/guides/ahqp/; http://www.amphilsoc.org/guides/ahqp/s-t.htm#schrodinger", acknowledgement = ack-nhfb, keywords = "Abraham; Adams; Allen; Amaldi; Andrade; Bacher; Back; Barkla; Bauer; Bechert; Becker; Becquerel; Bedreag; Benedicks; Berliner; Bethe; Birge; Birtwistle; Bjerrum; Blackett; Bloch; Bohr; Born; Bothe; Bourgin; Bragg; Breit; Brillouin; Broglie, L. de; Broglie, M. de; Buchwald; Burger; Burgers; Casimir; Catal{\'a}n; Cockcroft; Colby; Compton, A. H.; Compton, K. T.; Condon; Coster; Courant; Darwin; Davisson; Debye; Delbr{\"u}ck; Dennison; Dieke; Dirac; Dorgelo; Duane; Eckart; Eddington; Ehrenfest; Einstein; Elsasser; Epstein; Estermann; Eucken; Evans; Ewald; Fajans; Fax{\'e}n; Feenberg; Fermi; Fokker; Foote; Fortrat; Foster; Fowler, A.; Fowler, R. H.; Franck; Frenkel; Fricke; Fues; Fukada; Gamow; Garbasso; Gehrcke; Geiger; Gerlach; Gerthsen; G{\"o}tze; Gordon; Gorter; Goudsmit; Green; Grotrian; Guillemin; Haas; Haber; Haga; Halpern; Hansen; Hartree; Heisenberg; Heitler; Henning; Hertz, G.; Hertz, P.; Herzfeld; Hevesy; Hilbert; Hill; H{\"o}nl; Holst; Holtsmark; Hori; Horton; Houston; Hoyt; Hughes; Hulth{\'e}n; Hund; Hylleraas; Jaff{\'e}; Jeans; Joff{\'e}; Joliot; Joliot-Curie; Joos; Jordan; Kamerlingh-Onnes; Kapitza; K{\'a}rm{\'a}n; Kaufmann; Kayser; Keesom; Kellner; Kemble; Kennard; Kimura; Klein; Konen; Kopfermann; Kossel; Kramers; Kratzer; Kronig; Kudar; Kuhn; Kurlbaum; Ladenburg; Lanczos; Landau; Land{\'e}; Langevin; Langmuir; Laporte; Larmor; Laue; Leeuwen; L{\'e}nard; Lenz; Lewis; Lindemann; Lindsay; London; Loomis; Lorentz; Lummer; Lyman; Mack; Madelung; Manneback; Marsden; Mayer; McLaren; McLennan; Meggers; Meissner; Meitner; Meyer; Mie; Millikan; Minkowski; M{\o}ller; Moseley; Mott; Mulliken; Nagaoka; Nernst; Neumann; Nicholson; Niessen; Nishina; Nordheim; Nordstr{\"o}m; Oldenberg; Oppenheimer; Ornstein; Oseen; Owen; Paschen; Pauli; Pauling; Peierls; Perrin; Planck; Pohl; Poincar{\'e}; Pringsheim, E.; Pringsheim, P.; Rabi; Raman; Ramsauer; Randall; Rasetti; Rausch von Traubenberg; Ray; Rayleigh; Reiche; Richardson; Ritz; Rosenfeld; Rosseland; Rozhdestwensky; Ruark; Rubinowicz; Runge; Russell; Rutherford; Rydberg; Saha; Saunders; Schaefer; Scheel; Scherrer; Schottky; Schroedinger; Schwarzschild; Seeliger; Senftleben; Shenstone; Siegbahn; Silberstein; Slater; Smekal; Sommerfeld; Stark; Stern; Stoner; Sugiura; Takamine; Thirring; Thomas; Thomson, G. P.; Thomson, J. J.; Tolman; Townsend; Trumpy; Turner; Uhlenbeck; Urey; Van Vleck; Vegard; Voigt; Waerden; Waller; Warburg; Webster; Weiss; Weisskopf; Weizs{\"a}cker; Wentzel; Wereide; Werner; Weyl; Whiddington; Whittaker; Wien; Wigner; Wilson, C. T. R.; Wilson, W.; Wind; Wood; Wulff; Yukawa; Zeeman", subject = "quantum theory; history; sources; physics; bibliography; physicists", subject-dates = "Louis de Broglie (1892--1987); Lise Meitner (7 November 1878--27 October 1968); George E. Uhlenbeck (1900--1988)", } @Article{Mosteller:1967:DSR, author = "Frederick Mosteller and Cleo Youtz and Douglas Zahn", title = "The Distribution of Sums of Rounded Percentages", journal = j-DEMOGRAPHY, volume = "4", number = "2", pages = "850--858", month = jun, year = "1967", CODEN = "????", ISSN = "0070-3370 (print), 1533-7790 (electronic)", ISSN-L = "0070-3370", bibdate = "Thu Nov 24 08:03:16 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib; https://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib", note = "See \cite{Diaconis:1979:RP} for further work.", URL = "http://muse.jhu.edu/journals/dem/; http://www.biomedsearch.com/nih/Distribution-Sums-Rounded-Percentages/21318695.html; http://www.jstor.org/stable/2060324", abstract = "When percentages are computed for counts in several categories or for several positive measurements0 each taken as a fraction of their sum, the rounded percentages often fail to add to 100 percent. We investigate how frequently this failure occurs and what the distributions of sums of rounded percentages are for (1) an empirical set of data, (2) the multinomial distribution in small samples, (3) spacings between points dropped on an interval --- the broken-stick model; and (4) for simulation for several categories. The several methods produce similar distributions.We find that the probability that the sum of rounded percentages adds to exactly 100 percent is certain for two categories, about three-fourths for three categories, about two-thirds for four categories, and about [Formula: see text] for larger numbers of categories, c, on the average when categories are not improbable.", acknowledgement = ack-nhfb, fjournal = "Demography", pubmedid = "21318695", } @Article{Gringorten:1968:EFT, author = "Irving I. Gringorten", title = "Estimating Finite-Time Maxima and Minima of a Stationary {Gaussian} {Ornstein--Uhlenbeck} Process by {Monte Carlo} Simulation", journal = j-J-AM-STAT-ASSOC, volume = "63", number = "324", pages = "1517--1521", month = dec, year = "1968", CODEN = "JSTNAL", ISSN = "0162-1459 (print), 1537-274X (electronic)", ISSN-L = "0162-1459", bibdate = "Wed Jan 25 08:05:39 MST 2012", bibsource = "http://www.jstor.org/journals/01621459.html; http://www.jstor.org/stable/i314225; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jamstatassoc1960.bib", URL = "http://www.jstor.org/stable/2285900", acknowledgement = ack-nhfb, fjournal = "Journal of the American Statistical Association", journal-URL = "http://www.tandfonline.com/loi/uasa20", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Unpublished{Dyson:1969:PTF, author = "Freeman J. Dyson", title = "Phase Transitions in Ferromagnets", day = "31", month = oct, year = "1969", bibdate = "Mon Aug 26 17:56:36 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "Talk given at Evanston Statistical Mechanics Conference in honor of G. Uhlenbeck. Published in \cite{Dyson:1971:PTF}.", acknowledgement = ack-nhfb, subject-dates = "George E. Uhlenbeck (1900--1988)", } @InCollection{Dyson:1971:PTF, author = "Freeman J. Dyson", title = "Phase Transitions in Ferromagnets", crossref = "Cohen:1971:SMT", pages = "??--??", year = "1971", bibdate = "Mon Aug 26 17:58:31 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, } @Misc{Goudsmit:1971:DES, author = "Samuel A. Goudsmit", title = "The discovery of the electron spin", howpublished = "Web document", month = apr, year = "1971", bibdate = "Thu Jan 22 07:11:49 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "English translation by J. H. van der Waals of Goudsmit's lecture in Dutch for the golden jubilee of the Dutch Physical Society in April 1971.", URL = "http://rowdysites.msudenver.edu/~dovej/courses/am/supplemental/goudsmit-spin.pdf; http://www.lorentz.leidenuniv.nl/history/spin/goudsmit.html", acknowledgement = ack-nhfb # " \slash " # ack-dg, author-dates = "Samuel A. Goudsmit (1902--1978)", keywords = "Enrico Fermi (1901--1954); George Uhlenbeck (1900--1988); Llewellyn Hilleth Thomas (1903--1992); Niels Bohr (1885--1962); Ralph Kronig (1904 -1995); Samuel Goudsmit (1902--1978); Wolfgang Pauli (1900--1958)", remark = "This is a fine anecdotal account of how the electron spin was discovered. It includes a reproduction of a letter to Goudsmit from L. H. Thomas about Pauli, Kronig, and spin, possibly the origin of the rhyme ``Der Kronig h{\"a}tt den Spin entdeckt, h{\"a}tt Pauli ihn nicht abgeschreckt'' [Kronig would have discovered the spin, if Pauli had not scared him away]''. It also discusses how Enrico Fermi had been discouraged by his treatment in G{\"o}ttingen, but was encouraged to remain in physics by Paul Ehrenfest in Leiden. There is a photography of Dieke, Goudsmit, Tinbergen, Ehrenfest, Kronig, and Fermi taken in 1924.", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Donelson:1972:CLV, author = "John {Donelson III} and Fred Maltz", title = "A Comparison of Linear versus Non-Linear Prediction for Polynomial Functions of the {Ornstein--Uhlenbeck} Process", journal = j-J-APPL-PROBAB, volume = "9", number = "4", pages = "725--744", month = dec, year = "1972", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3212611", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:41:37 MDT 2014", bibsource = "http://www.jstor.org/stable/i361265; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3212611", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @InCollection{Cercignani:1973:CPU, author = "C. Cercignani", title = "Comment to {Professor Uhlenbeck}'s Paper", crossref = "Cohen:1973:BET", pages = "121--122", year = "1973", DOI = "https://doi.org/10.1007/978-3-7091-8336-6_6", bibdate = "Thu Apr 18 16:36:19 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "See \cite{Uhlenbeck:1973:VLB}.", acknowledgement = ack-nhfb, } @Article{Beekman:1975:ADOb, author = "John A. Beekman", title = "Asymptotic Distributions for the {Ornstein--Uhlenbeck} Process", journal = j-J-APPL-PROBAB, volume = "12", number = "1", pages = "107--114", month = mar, year = "1975", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3212412", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", MRclass = "60G17", MRnumber = "0388521", MRreviewer = "Michael Marcus", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "http://www.jstor.org/stable/i361274; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3212412", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html; http://projecteuclid.org/euclid.jap/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Dirkse:1975:APO, author = "John P. Dirkse", title = "An Absorption Probability for the {Ornstein--Uhlenbeck} Process", journal = j-J-APPL-PROBAB, volume = "12", number = "3", pages = "595--599", month = sep, year = "1975", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3212876", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:41:50 MDT 2014", bibsource = "http://www.jstor.org/stable/i361276; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3212876", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Hubert:1975:RBS, author = "M. Hubert and A. D. May", title = "The {Rayleigh--Brillouin} Spectrum of Normal and Parahydrogen: A Test of Model Solutions of the {Wang--Chang--Uhlenbeck} Equation", journal = j-CAN-J-PHYS, volume = "53", number = "4", pages = "343--350", month = feb, year = "1975", CODEN = "CJPHAD", DOI = "https://doi.org/10.1139/p75-044", ISSN = "0008-4204 (print), 1208-6045 (electronic)", ISSN-L = "0008-4204", bibdate = "Fri Apr 19 19:06:16 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Physics = Journal canadien de physique", journal-URL = "http://www.nrcresearchpress.com/journal/cjp", } @Article{Thomas:1975:SMF, author = "Marlin U. Thomas", title = "Some Mean First-Passage Time Approximations for the {Ornstein--Uhlenbeck} Process", journal = j-J-APPL-PROBAB, volume = "12", number = "3", pages = "600--604", month = sep, year = "1975", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3212877", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:41:50 MDT 2014", bibsource = "http://www.jstor.org/stable/i361276; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3212877", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Raimi:1976:FDP, author = "Ralph A. Raimi", title = "The first digit problem", journal = j-AMER-MATH-MONTHLY, volume = "83", number = "7", pages = "521--538", month = aug # "\slash " # sep, year = "1976", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2319349", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Sat Nov 12 15:49:53 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.jstor.org/stable/2319349", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", remark = "This article surveys the literature up to 1976, reports defects in several earlier mathematical `explanations' of Benford's Law, and gives a 52-entry bibliography of prior work. All of those entries are incorporated in this bibliography. It criticizes parts of \cite{Goudsmit:1944:SFN} as `dead wrong' (and the author reiterates that view in \cite{Raimi:1985:FDP}). See also later work \cite{Logan:1978:FDP}. On page 529, Raimi writes ``If the first digits of all the tables in the universe obey some fixed distribution law, Stigler's or Benford's or some other, that law must surely be independent of the system of units chosen, since God is not known to favor either the metric system or the English system. In other words, a universal first digit law, if it exists, must be scale-invariant.''", remark-2 = "This is so far the second earliest reference that I have found to \cite{Newcomb:1881:NFU}; the earliest is \cite{Boring:1920:LNL}, which has only brief mention of the question of digit frequencies. Raimi comments on p. 522: ``This assertion, whatever it may mean, will be called Benford's Law because it has been thought by many writers to have originated with the General Electric Company physicist Frank Benford [2]. Certainly Benford popularized the problem, and he may well have been unaware that the polymathic Simon Newcomb, primarily an astronomer but also sometime editor of The American Journal of Mathematics, had also formulated the same law 57 years earlier [1]. There is ample precedent for naming laws and theorems for persons other than their discoverers, else half of analysis would be named after Euler. Besides, even Newcomb implied that the observation giving rise to the Benford law was an old one in his day. One would hate to change the name of the law now only to find later that another change was called for.''", } @Article{deBoer:1978:DQK, author = "W. P. H. de Boer and Ch. G. van Weert", title = "On the derivation of quantum kinetic equations. {II}. {Nonlocal} {Uehling--Uhlenbeck} equation", journal = j-J-STAT-PHYS, volume = "18", number = "3", pages = "281--292", month = mar, year = "1978", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/BF01018094", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", MRclass = "81.60 (82.60)", MRnumber = "0475505", MRreviewer = "J. V. Greenman", bibdate = "Thu Aug 28 18:27:37 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys1970.bib", URL = "http://link.springer.com/article/10.1007/BF01018094", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jorgensen:1978:CBM, author = "E. J{\o}rgensen", title = "Construction of the {Brownian} motion and the {Ornstein--Uhlenbeck} process in a {Riemannian} manifold on basis of the {Gangolli--McKean} injection scheme", journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB, volume = "44", number = "1", pages = "71--87", month = "????", year = "1978", CODEN = "ZWVGAA", DOI = "https://doi.org/10.1007/BF00534142", ISSN = "0044-3719", ISSN-L = "0044-3719", bibdate = "Sat Apr 26 19:26:24 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/z-wahrscheinlichkeits-theor-verw-geb.bib", URL = "http://link.springer.com/article/10.1007/BF00534142", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und verwandte Gebiete", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Logan:1978:FDP, author = "Jonothan L. Logan and Samuel A. Goudsmit", title = "The First Digit Phenomenon", journal = j-PROC-AMER-PHIL-SOC, volume = "122", number = "4", pages = "193--197", day = "18", month = aug, year = "1978", CODEN = "PAPCAA", ISSN = "0003-049X (print), 2326-9243 (electronic)", ISSN-L = "0003-049X", bibdate = "Fri Mar 30 11:20:35 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "This paper contains derivations of both Stigler's Law and Benford's Law, and receives strong criticism in \cite{Raimi:1985:FDP}. This paper contains an important historical note that is recorded in entry \cite{Benford:1938:LAN}.", URL = "http://links.jstor.org/sici?sici=0003-049X(19780818)122:4%3C193:TFDP%3E2.0.CO%3B2-C; http://www.jstor.org/stable/986530", abstract = "Forty years ago an article appeared in these Proceedings, which has since then attracted much attention of mathematicians and some physicists. It was written by Frank Benford, a physicist from the General Electric Company at Schenectady. He had examined a large number of numerical tables, the kind that are printed in almanacs, and in scientific and technical handbooks. He noticed a most unusual and unexpected property of many of these tables. Consider, for example, the numbers representing the populations of states or all the countries in the world, or their areas, their budgets, their numbers of hospital beds, etc. One would expect that on the average just as many of these entries would begin with the digit $1$ as with $2$ or $3$ or $4$, and so on. But Benford noticed that small values of the first digits occur far more often.", acknowledgement = ack-nhfb, author-dates = "Samuel A. Goudsmit (July 11, 1902--December 4, 1978)", fjournal = "Proceedings of the {American Philosophical Society} held at {Philadelphia} for promoting useful knowledge", journal-URL = "http://www.jstor.org/journal/procamerphilsoci", remark = "In 1925, Samuel Goudsmit and George Uhlenbeck proposed the concept of electron spin, a critical step forward in the quantum mechanics of many-electron systems. Surprisingly, that work did not get them the Nobel Prize, but it did spur Wolfgang Pauli to present his Exclusion Principle in 1925, for which he received the 1945 Nobel Prize in Physics. After World War II, Goudsmit was the scientific head of the Alsos mission to capture German nuclear scientists. In the 1950s, he founded the journal Physical Review Letters. During the 1960s and 1970s, he was Editor-in-Chief of the main American physics journal, the Physical Review.", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Sullivan:1978:SGC, author = "Walter Sullivan", title = "{Samuel Goudsmit}, Codiscoverer of Electron's Spin, Is Dead at 76: Many {European} Ties. {Discovery} at Age 11", journal = j-NY-TIMES, volume = "??", number = "??", pages = "B6--B6", day = "6", month = dec, year = "1978", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Mon Apr 22 15:43:48 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://search.proquest.com/hnpnewyorktimes/docview/123572175/", acknowledgement = ack-nhfb, fjournal = "New York Times", journal-URL = "http://www.nytimes.com/", remark = "The article quotes Nobel Prize in Physics laureate Isador I. Rabi: ``Physics must forever be in debt to those two men [Samuel Goudsmit and George Uhlenbeck] for discovering the spin. Why they never received a Nobel Prize will always be a mystery to me.''", subject-dates = "Samuel A. Goudsmit (1902--1978)", } @Article{Diaconis:1979:RP, author = "Persi Diaconis and David Freedman", title = "On Rounding Percentages", journal = j-J-AM-STAT-ASSOC, volume = "74", number = "366", pages = "359--364", month = jun, year = "1979", CODEN = "JSTNAL", ISSN = "0162-1459 (print), 1537-274X (electronic)", ISSN-L = "0162-1459", bibdate = "Wed Nov 23 11:24:59 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib", note = "The authors extend prior work on correctness of sums of rounded percentages \cite{Mosteller:1967:DSR}, and criticize biased rounding practices in \cite{Benford:1938:LAN}.", URL = "http://www.jstor.org/stable/2284288", acknowledgement = ack-nhfb, fjournal = "Journal of the American Statistical Association", journal-URL = "http://www.tandfonline.com/loi/uasa20", keywords = "Benford's Law", remark = "When percentage-column entries are rounded, their sum may differ from 100\%. The authors use a prior proof \cite{Mosteller:1967:DSR} that for $ n \gg 2 $ rounded values, the probability of a correct sum is $ \sqrt {6 / (\pi n)} \approx 1.382 / \sqrt {n} $. They show that rounding may produce large changes in computed chi-squared values, and they conclude their article with this recommendation: ``it is important to calculate with many-digit accuracy when computing $ \chi^2 $ for large sample sizes.''", } @Article{Holley:1981:GOU, author = "R. Holley and D. Stroock", title = "Generalized {Ornstein--Uhlenbeck} processes as limits of interacting systems", journal = j-LECT-NOTES-MATH, volume = "851", pages = "152--168", year = "1981", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0088727", ISBN = "3-540-10690-1 (print), 3-540-38613-0 (e-book)", ISBN-13 = "978-3-540-10690-6 (print), 978-3-540-38613-1 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "60K35 (60G20 81E10 82A05)", MRnumber = "620990 (83d:60110)", MRreviewer = "S. Guia{\c{s}}u", bibdate = "Fri May 9 19:07:34 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0088727/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0088719", book-URL = "http://www.springerlink.com/content/978-3-540-38613-1", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Martellini:1981:PUR, author = "M. Martellini", title = "{Pais--Uhlenbeck} regularization of free quantum gravity: toward a unitary theory", journal = j-NUOVO-CIMENTO-B-11, volume = "64", number = "1", pages = "33--40", year = "1981", CODEN = "NCIBAW", DOI = "https://doi.org/10.1007/BF02721292", ISSN = "0369-4100", ISSN-L = "1594-9982", MRclass = "83C45 (81E15)", MRnumber = "637544", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Il Nuovo Cimento. B. Serie 11", journal-URL = "http://link.springer.com/journal/40764", } @Article{Bakry:1982:RPO, author = "D. Bakry", title = "Remarques sur le processus d'{Ornstein--Uhlenbeck} en dimension infinie. ({French}) [{Remarks} on the {Ornstein--Uhlenbeck} process in infinite dimension]", journal = j-LECT-NOTES-MATH, volume = "920", pages = "134--137", year = "1982", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0092774", ISBN = "3-540-11485-8 (print), 3-540-39158-4 (e-book)", ISBN-13 = "978-3-540-11485-7 (print), 978-3-540-39158-6 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "60J60 (58D30)", MRnumber = "658674 (83j:60083)", MRreviewer = "A. A. Novikov", bibdate = "Fri May 9 19:07:35 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0092774/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0092765", book-URL = "http://www.springerlink.com/content/978-3-540-39158-6", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", language = "French", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Belloni:1982:PNH, author = "Lanfranco Belloni", title = "{Pauli}'s 1924 note on hyperfine structure", journal = j-AMER-J-PHYSICS, volume = "50", number = "5", pages = "461--464", month = may, year = "1982", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.12836", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Wed Apr 24 07:17:30 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Enderle:1982:RLT, author = "K. Enderle and H. Hering", title = "Ratio limit theorems for branching {Ornstein--Uhlenbeck} processes", journal = j-STOCH-PROC-APPL, volume = "13", number = "1", pages = "75--85", year = "1982", CODEN = "STOPB7", DOI = "https://doi.org/10.1016/0304-4149(82)90008-4", ISSN = "0304-4149 (print), 1879-209x (electronic)", ISSN-L = "0304-4149", MRclass = "60J80 (60F99)", MRnumber = "662806", MRreviewer = "Douglas P. Kennedy", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Stochastic Processes and their Applications", journal-URL = "http://www.sciencedirect.com/science/journal/03044149", } @Article{Salminen:1984:COU, author = "P. Salminen", title = "On Conditional {Ornstein--Uhlenbeck} Processes", journal = j-ADV-APPL-PROB, volume = "16", number = "4", pages = "920--922", month = dec, year = "1984", CODEN = "AAPBBD", DOI = "https://doi.org/10.2307/1427347", ISSN = "0001-8678 (print), 1475-6064 (electronic)", ISSN-L = "0001-8678", bibdate = "Sat May 3 07:41:42 MDT 2014", bibsource = "http://www.jstor.org/stable/i262264; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/advapplprob.bib", URL = "http://www.jstor.org/stable/1427347", acknowledgement = ack-nhfb, ajournal = "Adv. in Appl. Probab.", fjournal = "Advances in Applied Probability", journal-URL = "http://www.jstor.org/journals/00018678.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wittig:1984:GOU, author = "Timothy A. Wittig", title = "A generalized {Ornstein--Uhlenbeck} process", journal = j-COMMUN-STAT-THEORY-METH, volume = "13", number = "1", pages = "29--43", year = "1984", CODEN = "CSTMDC", DOI = "https://doi.org/10.1080/03610928408828659", ISSN = "0361-0926 (print), 1532-415X (electronic)", ISSN-L = "0361-0926", bibdate = "Tue Jan 26 18:59:37 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/communstattheorymeth1980.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Statistics: Theory and Methods", journal-URL = "http://www.tandfonline.com/loi/lsta20", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Baracca:1985:BCI, author = "Angelo Baracca and Edvige Schettino", title = "Birth of the concept of intrinsic magnetic moment of electrons in chemistry and magnetism before the work of {Uhlenbeck} and {Goudsmit} (1915--1921)", journal = "Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Memorie di Scienze Fisiche e Naturali. Serie V. Parte II", volume = "9", pages = "263--267", year = "1985", ISSN = "0392-4130", MRclass = "01A60", MRnumber = "900885", bibdate = "Thu Apr 18 12:20:08 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "Proceedings of the fifth national congress on the history of physics ({Italian}) ({Rome}, 1984)", acknowledgement = ack-nhfb, ajournal = "Rend. Accad. Naz. Sci. XL Mem. Sci. Fis. Natur. (5)", author-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", fjournal = "Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Memorie di Scienze Fisiche e Naturali. Serie V. Parte II", subject-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Borell:1985:GBO, author = "Christer Borell", title = "Geometric bounds on the {Ornstein--Uhlenbeck} velocity process", journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB, volume = "70", number = "1", pages = "1--13", month = "????", year = "1985", CODEN = "ZWVGAA", DOI = "https://doi.org/10.1007/BF00532234", ISSN = "0044-3719", ISSN-L = "0044-3719", bibdate = "Sat Apr 26 19:28:56 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/z-wahrscheinlichkeits-theor-verw-geb.bib", URL = "http://link.springer.com/article/10.1007/BF00532234", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und verwandte Gebiete", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jacod:1985:GFP, author = "Jean Jacod", title = "Grossissement de filtration et processus d'{Ornstein--Uhlenbeck} g{\'e}n{\'e}ralis{\'e}. ({French}) []", journal = j-LECT-NOTES-MATH, volume = "1118", pages = "36--44", year = "1985", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0075769", ISBN = "3-540-15210-5 (print), 3-540-39339-0 (e-book)", ISBN-13 = "978-3-540-15210-1 (print), 978-3-540-39339-9 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", bibdate = "Fri May 9 19:07:49 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm1985.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0075769/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0075765", book-URL = "http://www.springerlink.com/content/978-3-540-39339-9", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", language = "French", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Nobile:1985:ETO, author = "A. G. Nobile and L. M. Ricciardi and L. Sacerdote", title = "Exponential Trends of {Ornstein--Uhlenbeck} First-Passage-Time Densities", journal = j-J-APPL-PROBAB, volume = "22", number = "2", pages = "360--369", month = jun, year = "1985", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3213779", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:42:41 MDT 2014", bibsource = "http://www.jstor.org/stable/i361316; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3213779", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Raimi:1985:FDP, author = "Ralph A. Raimi", title = "The First Digit Phenomenon Again", journal = j-PROC-AMER-PHIL-SOC, volume = "129", number = "2", pages = "211--219", month = jun, year = "1985", CODEN = "PAPCAA", ISSN = "0003-049X (print), 2326-9243 (electronic)", ISSN-L = "0003-049X", bibdate = "Sat Nov 12 16:56:54 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "This paper contains strong criticism of a derivation of Benford's Law \cite{Logan:1978:FDP}.", URL = "http://www.jstor.org/stable/986989", acknowledgement = ack-nhfb, fjournal = "Proceedings of the {American Philosophical Society} held at {Philadelphia} for promoting useful knowledge", journal-URL = "http://www.jstor.org/journal/procamerphilsoci", remark = "This paper contains mathematical derivations of both Stigler's Law and Benford's Law. Raimi comments on p. 217: ``the Benford law itself as a conclusion to be derived is by no means as firm as Kepler's planetary curves. Indeed, it has been pointed out by Diaconis and Freedman [D-F] [\cite{Diaconis:1979:RP}] that a statistical analysis of Benford's announced data gives a high probability to the conjecture that he did a bit of rounding-off here and there, always in the direction of his law. The license that a physicist often takes on the path from his hypotheses to verified, observable, and repeatable conclusion is not justified here.''.", } @Article{Segre:1985:HPR, author = "Emilio Segr{\`e}", title = "Historical Perspective: Refugee Scientists and Nuclear Energy", journal = j-ANN-NY-ACAD-SCI, volume = "452", number = "1", bookpages = "xix + 411", pages = "xv--xix", year = "1985", CODEN = "ANYAA9", DOI = "https://doi.org/10.1111/j.1749-6632.1985.tb29993.x", ISBN = "0-89766-298-9, 0-89766-299-7 (paperback)", ISBN-13 = "978-0-89766-298-7, 978-0-89766-299-4 (paperback)", ISSN = "0077-8923 (print), 1749-6632 (electronic)", ISSN-L = "0077-8923", bibdate = "Wed Mar 6 17:26:04 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib; https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/f/frisch-otto.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/m/meitner-lise.bib; https://www.math.utah.edu/pub/bibnet/authors/p/peierls-rudolf.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutherford-ernest.bib; https://www.math.utah.edu/pub/bibnet/authors/s/schroedinger-erwin.bib; https://www.math.utah.edu/pub/bibnet/authors/s/szilard-leo.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib", note = "Sixth International Conference on Collective Phenomena: reports from the Moscow Refusnik Seminar / edited by Inga Fischer-Hjalmars and Joel L. Lebowitz. Contributions from the Moscow Refusnik Seminar and from two International Conferences on Collective Phenomena, one held in Stockholm, Sweden, 1--2 December 1983, and the other in Tel Aviv, Israel, 31 May--1 June 1984.", acknowledgement = ack-nhfb, fjournal = "Annals of the New York Academy of Sciences", journal-URL = "http://www.nyas.org/Publications/Archive.aspx", keywords = "Hans Bethe; Niels Bohr; Max Born; Walther Bothe; James Chadwick; Orso Mario Corbino; Marie Curie; Peter Debye; Paul S. Epstein; Enrico Fermi; James Franck; Otto Robert Frisch; Klaus Fuchs; Hans Geiger; Samuel Goudsmit; General Leslie R. Groves; Fritz Haber; Otto Hahn; Adolf Hitler; K. Lark Horowitz; Fritz G. Houtermans; Fr{\'e}d{\'e}ric Joliot-Curie; George B. Kistiakowsky; Lew Kowarski; A. L. Hughes; Fritz London; Lise Meitner; Benito Mussolini; Lothar W. Nordheim; Wolfgang Pauli; Rudolf Peierls; Francis Perrin; George Placzek; Giulio Racah; Bruno Rossi; Joseph Rotblat; Ernest Rutherford; Erwin Schr{\"o}dinger; Emilio Segr{\`e}; ?. Staub; Otto Stern; Leo Szilard; Edward Teller; Llewellyn H. Thomas; George Uhlenbeck; Victor Weisskopf; Eugene P. Wigner; Fritz Zwicky; Theodore von K{\'a}rm{\'a}n; John von Neumann; Hans von Halben; George von Hevesy", remark = "From the last paragraph: ``My list is not complete but it should suffice to show the contribution of Hitler to the atomic bomb. Of course his most important contribution was the unparalleled motivation he gave to everybody.''", subject-dates = "Samuel Goudsmit (1902--1978); Lise Meitner (7 November 1878--27 October 1968); George E. Uhlenbeck (1900--1988)", } @Article{Rowlinson:1986:PCG, author = "J. S. Rowlinson", title = "The properties of connected graphs and some corrections to the list of {Uhlenbeck} and {Ford}", journal = j-J-STAT-PHYS, volume = "42", number = "5--6", pages = "931--933", month = mar, year = "1986", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/BF01010453", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", MRclass = "82A05 (05C40)", MRnumber = "833228", MRreviewer = "M. Carrassi", bibdate = "Sat Aug 30 12:45:07 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib", URL = "http://link.springer.com/article/10.1007/BF01010453", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Suslin:1986:SCP, author = "V. M. Suslin", title = "Solvability of the {Cauchy} problem for a homogeneous kinetic equation with the {{\"U}hling--Uhlenbeck} collision integral", journal = "Akademiya Nauk SSSR. Institut Prikladno{\u\i} Matematiki. Preprint", number = "38", pages = "13", year = "1986", MRclass = "35Q20 (82A40)", MRnumber = "870457", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, ajournal = "Akad. Nauk SSSR Inst. Prikl. Mat. Preprint", fjournal = "Akademiya Nauk SSSR. Institut Prikladno{\u\i} Matematiki. Preprint", } @Article{Antoniadis:1987:EEI, author = "Anestis Antoniadis and Rene Carmona", title = "Eigenfunction expansions for infinite dimensional {Ornstein--Uhlenbeck} processes", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "74", number = "1", pages = "31--54", month = "????", year = "1987", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/BF01845638", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sun Apr 27 11:18:00 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/BF01845638", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Mitoma:1987:GOU, author = "Itaru Mitoma", title = "Generalized {Ornstein--Uhlenbeck} process having a characteristic operator with polynomial coefficients", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "76", number = "4", pages = "533--555", month = "????", year = "1987", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/BF00960073", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sun Apr 27 11:18:05 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/BF00960073", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Renshaw:1987:DUO, author = "Eric Renshaw", title = "The Discrete {Uhlenbeck--Ornstein} Process", journal = j-J-APPL-PROBAB, volume = "24", number = "4", pages = "908--917", month = dec, year = "1987", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3214215", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:42:55 MDT 2014", bibsource = "http://www.jstor.org/stable/i361327; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3214215", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ricciardi:1987:PDO, author = "L. M. Ricciardi and L. Sacerdote", title = "On the Probability Densities of an {Ornstein--Uhlenbeck} Process with a Reflecting Boundary", journal = j-J-APPL-PROBAB, volume = "24", number = "2", pages = "355--369", month = jun, year = "1987", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3214260", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:42:53 MDT 2014", bibsource = "http://www.jstor.org/stable/i361325; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3214260", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Casimir:1988:GEU, author = "H. B. G. Casimir", title = "{George Eugene Uhlenbeck} (1900--1988)", journal = j-NATURE, volume = "336", number = "6201", pages = "717--717", day = "29", month = dec, year = "1988", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/336717a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Wed Apr 17 09:45:17 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ricciardi:1988:FPT, author = "Luigi M. Ricciardi and Shunsuke Sato", title = "First-Passage-Time Density and Moments of the {Ornstein--Uhlenbeck} Process", journal = j-J-APPL-PROBAB, volume = "25", number = "1", pages = "43--57", month = mar, year = "1988", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3214232", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:42:57 MDT 2014", bibsource = "http://www.jstor.org/stable/i361328; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3214232", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Sullivan:1988:GUD, author = "Walter Sullivan", title = "{George E. Uhlenbeck} Dies at 87; Co-Discoverer of Electron's Spin", journal = j-NY-TIMES, volume = "??", number = "??", pages = "D27--D27", day = "2", month = nov, year = "1988", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Mon Apr 22 18:55:22 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://search.proquest.com/hnpnewyorktimes/docview/110452184/", acknowledgement = ack-nhfb, fjournal = "New York Times", journal-URL = "http://www.nytimes.com/", } @Article{Anonymous:1989:MGU, author = "Anonymous", title = "In memoriam {G. E. Uhlenbeck} (1900--1988)", journal = j-NED-TIJDSCHR-NATUURKD, volume = "55", number = "2", pages = "??--??", month = jan, year = "1989", CODEN = "NTINEL", ISSN = "0926-4264", bibdate = "Thu Apr 25 09:11:57 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "https://www.ntvn.nl/archief/pdf/431/10/", acknowledgement = ack-nhfb, fjournal = "Nederlands Tijdschrift voor Natuurkunde", journal-URL = "https://www.ntvn.nl/archief/", pagecount = "10", subject-dates = "George E. Uhlenbeck (1900--1988)", } @InCollection{Arsenault:1989:SEC, author = "Guy Arsenault and Yvan Saint-Aubin", booktitle = "{XVIIth International Colloquium on Group Theoretical Methods in Physics (Sainte-Ad{\`e}le, PQ, 1988)}", title = "Symmetries of the {Euclidean} {$ {\rm U}(3) $} chiral model and {Uhlenbeck}'s unitons", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "468--471", year = "1989", MRclass = "58F35 (81T10)", MRnumber = "1134861", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, } @Article{deBoer:1989:GEU, author = "J. de Boer", title = "{George Eug{\`e}ne Uhlenbeck: 6 december 1900--31 oktober 1988}", journal = "Jaarboek. Proceedings of the Royal Netherlands Academy of Arts and Sciences (KNAW)", volume = "??", number = "??", pages = "182--190", month = "????", year = "1989", bibdate = "Fri Apr 19 05:59:31 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://www.dwc.knaw.nl/biografie/pmknaw/?pagetype=authorDetail&aId=PE00003410; http://www.dwc.knaw.nl/DL/levensberichten/PE00003410.pdf", acknowledgement = ack-nhfb, language = "Dutch", } @Article{Deuschel:1989:IPE, author = "Jean-Dominique Deuschel", title = "Invariance Principle and Empirical Mean Large Deviations of the Critical {Ornstein--Uhlenbeck} Process", journal = j-ANN-PROBAB, volume = "17", number = "1", pages = "74--90", month = jan, year = "1989", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab1980.bib", URL = "http://projecteuclid.org/euclid.aop/1176991495", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Dresden:1989:OGU, author = "Max Dresden", title = "Obituary: {George E. Uhlenbeck}", journal = j-PHYS-TODAY, volume = "42", number = "12", pages = "91--94", month = dec, year = "1989", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.2811256", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Thu Apr 18 18:47:42 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Foidl:1989:SGL, author = "Ch Foidl and P. Kasperkovitz", title = "Systematic generation of linear graphs --- Check and extension of the list of {Uhlenbeck} and {Ford}", journal = j-J-COMPUT-PHYS, volume = "85", number = "2", pages = "504--504", month = dec, year = "1989", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(89)90177-0", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sun Jan 1 15:59:48 MST 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999189901770", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Iscoe:1989:LDV, author = "I. Iscoe and D. McDonald", title = "Large Deviations for $ l^2$-Valued {Ornstein--Uhlenbeck} Processes", journal = j-ANN-PROBAB, volume = "17", number = "1", pages = "58--73", month = jan, year = "1989", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab1980.bib", URL = "http://projecteuclid.org/euclid.aop/1176991494", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Suslin:1989:EUT, author = "V. M. Suslin", title = "Existence and uniqueness theorems for an inhomogeneous kinetic equation with the {{\"U}hling--Uhlenbeck} collision integral (the case of {Fermi--Dirac} statistics)", journal = "Akad. Nauk SSSR Inst. Prikl. Mat. Preprint", number = "56", pages = "17", year = "1989", MRclass = "82A40", MRnumber = "1034338", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Akademiya Nauk SSSR. Institut Prikladno\u{\i} Matematiki. Preprint", } @Article{Taylor:1989:MEC, author = "J. C. Taylor", title = "The Minimal Eigenfunctions Characterize the {Ornstein--Uhlenbeck} Process", journal = j-ANN-PROBAB, volume = "17", number = "3", pages = "1055--1062", month = jul, year = "1989", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab1980.bib", URL = "http://projecteuclid.org/euclid.aop/1176991256", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Avan:1990:PSI, author = "J. Avan and M. Talon", title = "{Poisson} structure and integrability of the {Neumann--Moser--Uhlenbeck} model", journal = "International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology", volume = "5", number = "23", pages = "4477--4488", year = "1990", DOI = "https://doi.org/10.1142/S0217751X90001884", ISSN = "0217-751X", MRclass = "58F05 (58F07)", MRnumber = "1079824", MRreviewer = "Tudor S. Ra\c{t}iu", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, ajournal = "Internat. J. Modern Phys. A", fjournal = "International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology", } @Article{Chari:1990:GJT, author = "Ravi Chari", title = "Generalized jump-type {Ornstein--Uhlenbeck} processes as limits of infinite-particle systems", journal = j-J-THEOR-PROBAB, volume = "3", number = "1", pages = "9--29", month = jan, year = "1990", CODEN = "JTPREO", DOI = "https://doi.org/10.1007/BF01063326", ISSN = "0894-9840 (print), 1572-9230 (electronic)", ISSN-L = "0894-9840", bibdate = "Thu Aug 28 18:57:32 MDT 2014", bibsource = "http://link.springer.com/journal/10959; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0894-9840&volume=3&issue=1; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib", URL = "http://link.springer.com/article/10.1007/BF01063326", acknowledgement = ack-nhfb, fjournal = "Journal of Theoretical Probability", journal-URL = "http://link.springer.com/journal/10959", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Cohen:1990:GUS, author = "E. G. D. Cohen", title = "{George E. Uhlenbeck} and statistical mechanics", journal = j-AMER-J-PHYSICS, volume = "58", number = "7", pages = "619--625", year = "1990", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.16504", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", MRclass = "82-03 (01A60)", MRnumber = "1068176", MRreviewer = "A. E. Heins", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "E. G. D. Cohen (1923--2017)", fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Cohen:1990:SBG, author = "E. G. D. Cohen", title = "Short biography of {G. E. Uhlenbeck}", journal = j-AMER-J-PHYSICS, volume = "58", number = "7", pages = "618--618", month = jul, year = "1990", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.16419", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Fri Apr 19 05:35:25 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "E. G. D. Cohen (1923--2017)", fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Csorgo:1990:MCG, author = "Mikl{\'o}s Cs{\"o}rg{\"o} and Zheng Yan Lin", title = "On moduli of continuity for {Gaussian} and $ l^2 $-norm squared processes generated by {Ornstein--Uhlenbeck} processes", journal = j-CAN-J-MATH, volume = "42", number = "??", pages = "141--158", month = "????", year = "1990", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1990-009-6", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", bibdate = "Sat Sep 10 15:39:01 MDT 2011", bibsource = "http://cms.math.ca/cjm/v42/; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fernique:1990:RCF, author = "X. Fernique", title = "Sur la r{\'e}gularit{\'e} de certaines fonctions al{\'e}atoires d'{Ornstein--Uhlenbeck}. ({French}) [{On} the regularity of some {Ornstein--Uhlenbeck} random functions]", journal = j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST, volume = "26", number = "3", pages = "399--417", month = "????", year = "1990", CODEN = "AHPBAR", ISSN = "0246-0203 (print), 1778-7017 (electronic)", ISSN-L = "0246-0203", MRnumber = "1066085", bibdate = "Mon Jun 9 05:33:19 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annihpb.bib", URL = "http://www.numdam.org/item?id=AIHPB_1990__26_3_399_0", ZMnumber = "0706.60041", acknowledgement = ack-nhfb, fjournal = "Annales de l'Institut Henri Poincar{\'e}. Probabilit{\'e}s et Statistiques", journal-URL = "http://www.numdam.org/numdam-bin/feuilleter?j=AIHPB", language = "French", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Foidl:1990:SGLb, author = "Ch. Foidl and P. Kasperkovitz", title = "Systematic generation of linear graphs --- Check and extension of the list of {Uhlenbeck} and {Ford}", journal = j-J-COMPUT-PHYS, volume = "89", number = "1", pages = "246--250", month = jul, year = "1990", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(90)90125-K", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "82-04 (82A05)", MRnumber = "1063155", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/002199919090125K", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Iscoe:1990:CVO, author = "I. Iscoe and M. B. Marcus and D. McDonald and M. Talagrand and J. Zinn", title = "Continuity of $ l^2$-Valued {Ornstein--Uhlenbeck} Processes", journal = j-ANN-PROBAB, volume = "18", number = "1", pages = "68--84", month = jan, year = "1990", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab1990.bib", URL = "http://projecteuclid.org/euclid.aop/1176990938", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Polityukov:1990:SCP, author = "V. P. Polityukov", title = "Solution of the {Cauchy} problem for the nonlinear {Uehling--Uhlenbeck} problem", journal = j-DOKL-AKAD-NAUK, volume = "312", number = "6", pages = "1357--1360", year = "1990", CODEN = "DANKAS", ISSN = "0002-3264", MRclass = "35Q99 (82C40 85A15)", MRnumber = "1076494", MRreviewer = "D. ter Haar", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Doklady Akademii Nauk SSSR", journal-URL = "http://istina.msu.ru/journals/366838/", } @Article{Schmuland:1990:SPP, author = "B. Schmuland", title = "Sample path properties of $ l^p$-valued {Ornstein--Uhlenbeck} processes", journal = j-CAN-MATH-BULL, volume = "33", number = "3", pages = "358--368", month = sep, year = "1990", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1990-060-9", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", bibdate = "Thu Sep 8 10:05:54 MDT 2011", bibsource = "http://cms.math.ca/cmb/v33/; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/canmathbull.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Shiga:1990:RCM, author = "Tokuzo Shiga", title = "A recurrence criterion for {Markov} processes of {Ornstein--Uhlenbeck} type", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "85", number = "4", pages = "425--447", month = "????", year = "1990", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/BF01203163", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sun Apr 27 11:18:20 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/BF01203163", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wenocur:1990:OUP, author = "Michael L. Wenocur", title = "{Ornstein--Uhlenbeck} Process with Quadratic Killing", journal = j-J-APPL-PROBAB, volume = "27", number = "3", pages = "707--712", month = sep, year = "1990", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3214554", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:43:09 MDT 2014", bibsource = "http://www.jstor.org/stable/i361339; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3214554", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bojdecki:1991:GNG, author = "Tomasz Bojdecki and Luis G. Gorostiza", title = "{Gaussian} and non-{Gaussian} distribution-valued {Ornstein--Uhlenbeck} processes", journal = j-CAN-J-MATH, volume = "43", number = "??", pages = "1136--1149", month = "????", year = "1991", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1991-066-6", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", bibdate = "Sat Sep 10 15:39:02 MDT 2011", bibsource = "http://cms.math.ca/cjm/v43/; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Dankel:1991:DIS, author = "Thad {Dankel, Jr.}", title = "On the Distribution of the Integrated Square of the {Ornstein--Uhlenbeck} Process", journal = j-SIAM-J-APPL-MATH, volume = "51", number = "2", pages = "568--574", month = apr, year = "1991", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "60G15 (28C20 60J25)", MRnumber = "92c:60056", bibdate = "Thu Oct 15 18:16:06 MDT 1998", bibsource = "Compendex database; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib; JSTOR database", acknowledgement = ack-nhfb, affiliation = "Univ of North Carolina-Wilmington", affiliationaddress = "Wilmington, NC, USA", classification = "921", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "Asymptotic Distributions; Functional Integrals; Integral Equations; Inverse Gaussian Distributions; Mathematical Techniques; Mathematical Transformations --- Laplace Transforms; Ornstein--Uhlenbeck Process", subject-dates = "George E. Uhlenbeck (1900--1988)", } @InCollection{Piechor:1991:CFF, author = "Kazimierz Piech{\'o}r", booktitle = "Discrete models of fluid dynamics ({Figueira} da {Foz}, 1990)", title = "The {Couette} flow by a four-velocity model of the {Uehling--Uhlenbeck} equation", volume = "2", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "176--185", year = "1991", MRclass = "76P05 (82C40)", MRnumber = "1192804", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Ser. Adv. Math. Appl. Sci.", acknowledgement = ack-nhfb, } @Article{Romer:1991:EMP, author = "Robert H. Romer", title = "Editorial: Memorable papers from the {{\booktitle{American Journal of Physics}}}, 1933--1990", journal = j-AMER-J-PHYSICS, volume = "59", number = "3", pages = "201--207", month = mar, year = "1991", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.16562", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Sat Apr 20 15:26:08 2024", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bunge-mario.bib; https://www.math.utah.edu/pub/bibnet/authors/c/clerk-maxwell-james.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutherford-ernest.bib; https://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib; https://www.math.utah.edu/pub/bibnet/authors/s/sommerfeld-arnold.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", remark = "The cited papers include \cite{Uhlenbeck:1956:RPP}.", } @Article{Simonian:1991:SAF, author = "Alain Simonian", title = "Stationary Analysis of a Fluid Queue with Input Rate Varying as an {Ornstein--Uhlenbeck} Process", journal = j-SIAM-J-APPL-MATH, volume = "51", number = "3", pages = "828--842", month = jun, year = "1991", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "60K25 (60E10 60G15 90B22)", MRnumber = "92e:60183", MRreviewer = "V{\v{e}}ra L{\'a}nsk{\'a}", bibdate = "Thu Oct 15 18:16:06 MDT 1998", bibsource = "Compendex database; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib; JSTOR database", acknowledgement = ack-nhfb, affiliation = "Centre National d'Etudes des Telecommunications", affiliationaddress = "Issy-les-Moulineaux, France", classification = "921; 922; 931", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "Diffusion; Fluid Queue Models; Fokker--Planck Equation; Markov Process; Mathematical Transformations--Fourier Transforms; Ornstein--Uhlenbeck Process; Probability; Probability--Random Processes; Queueing Theory; Stationary Probability Distribution; Telecommunication--Traffic", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Csaki:1992:FTI, author = "Endre Cs{\'a}ki and Mikl{\'o}s Cs{\"o}rg{\H{o}} and Qi-Man Shao", title = "{Fernique} type inequalities and moduli of continuity for $ l^2$-valued {Ornstein--Uhlenbeck} Processes", journal = j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST, volume = "28", number = "4", pages = "479--517", month = "????", year = "1992", CODEN = "AHPBAR", ISSN = "0246-0203 (print), 1778-7017 (electronic)", ISSN-L = "0246-0203", MRnumber = "1193082", bibdate = "Mon Jun 9 05:33:37 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annihpb.bib", URL = "http://www.numdam.org/item?id=AIHPB_1992__28_4_479_0", ZMnumber = "0762.60028", acknowledgement = ack-nhfb, fjournal = "Annales de l'Institut Henri Poincar{\'e}. Probabilit{\'e}s et Statistiques", journal-URL = "http://www.numdam.org/numdam-bin/feuilleter?j=AIHPB", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fernique:1992:RFA, author = "X. Fernique", title = "Sur La Regularit{\'e} Des Fonctions Al{\'e}atoires D'{Ornstein--Uhlenbeck} {\`a} Valeurs Dans $ l_p, p \in \lbrack 1, \infty \lbrack $. ({French}) [{On} the regularity of random {Ornstein--Uhlenbeck} functions with values in $ l_p, p \in \lbrack 1, \infty \lbrack $]", journal = j-ANN-PROBAB, volume = "20", number = "3", pages = "1441--1449", month = jul, year = "1992", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab1990.bib", URL = "http://projecteuclid.org/euclid.aop/1176989699", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", language = "French", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Millet:1992:COU, author = "A. Millet and W. Smole{\'n}ski", title = "On the continuity of {Ornstein--Uhlenbeck} processes in infinite dimensions", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "92", number = "4", pages = "529--547", month = "????", year = "1992", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/BF01274267", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sun Apr 27 11:18:30 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/BF01274267", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Mingalev:1992:SFT, author = "O. V. Mingalev", title = "Solutions in the form of a traveling wave in a discrete model of the {Uehling--Uhlenbeck} equation", journal = j-DOKL-AKAD-NAUK, volume = "323", number = "6", pages = "1029--1033", year = "1992", CODEN = "DANKAS", ISSN = "0869-5652", MRclass = "82C40 (76P05)", MRnumber = "1202305", MRreviewer = "Valeriu Gu\c{t}u", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Rossi\u{\i}skaya Akademiya Nauk. Doklady Akademii Nauk", journal-URL = "http://istina.msu.ru/journals/366838/", } @Article{Mingalev:1992:SLC, author = "I. V. Mingalev", title = "On the solvability in the large of the {Cauchy} problem for discrete models of the {Uehling--Uhlenbeck} equation", journal = j-DOKL-AKAD-NAUK, volume = "324", number = "1", pages = "42--45", year = "1992", CODEN = "DANKAS", ISSN = "0869-5652", MRclass = "35Q35 (35Q40 82C40)", MRnumber = "1198564", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Rossi\u{\i}skaya Akademiya Nauk. Doklady Akademii Nauk", journal-URL = "http://istina.msu.ru/journals/366838/", } @InCollection{Piechor:1992:SWS, author = "Kazimierz Piech{\'o}r", booktitle = "Thermodynamics and kinetic theory ({M{\k{a}}dralin}, 1990)", title = "The shock-wave structure by a four-velocity model of the {Uehling--Uhlenbeck} equations", volume = "12", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "146--155", year = "1992", MRclass = "82C40 (35Q99)", MRnumber = "1170173", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Ser. Adv. Math. Appl. Sci.", acknowledgement = ack-nhfb, } @Article{Rockner:1992:PMB, author = "Michael Rockner", title = "On the Parabolic {Martin} Boundary of the {Ornstein--Uhlenbeck} Operator on {Wiener} Space", journal = j-ANN-PROBAB, volume = "20", number = "2", pages = "1063--1085", month = apr, year = "1992", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab1990.bib", URL = "http://projecteuclid.org/euclid.aop/1176989818", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Clifford:1993:ECP, author = "Peter Clifford and Gang Wei", title = "The Equivalence of the {Cox} Process with Squared Radial {Ornstein--Uhlenbeck} Intensity and the Death Process in a Simple Population Model", journal = j-ANN-APPL-PROBAB, volume = "3", number = "3", pages = "863--873", month = aug, year = "1993", CODEN = "????", ISSN = "1050-5164 (print), 2168-8737 (electronic)", ISSN-L = "1050-5164", bibdate = "Fri Jun 6 11:35:47 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annapplprobab.bib", URL = "http://projecteuclid.org/euclid.aoap/1177005368", acknowledgement = ack-nhfb, fjournal = "Annals of Applied Probability", journal-URL = "http://projecteuclid.org/all/euclid.aoap/; http://www.jstor.org/journals/10505164.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Csorgo:1993:RMC, author = "M. Cs{\"o}rg{\"o} and Z.-Y. Lin and Q.-M. Shao", title = "Randomization moduli of continuity for $ {\l }^2$-norm squared {Ornstein--Uhlenbeck} processes", journal = j-CAN-J-MATH, volume = "45", number = "??", pages = "269--283", month = "????", year = "1993", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1993-013-3", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", bibdate = "Sat Sep 10 15:39:04 MDT 2011", bibsource = "http://cms.math.ca/cjm/v45/; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Gaver:1993:SAM, author = "Donald P. Gaver and John A. Morrison and Rogerio Silveira", title = "Service-Adaptive Multitype Repairman Problems", journal = j-SIAM-J-APPL-MATH, volume = "53", number = "2", pages = "459--470", month = apr, year = "1993", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "60K30 (90B05)", MRnumber = "94b:60114", bibdate = "Wed Dec 10 09:59:46 MST 1997", bibsource = "Compendex database; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib", acknowledgement = ack-nhfb, affiliation = "Naval Postgraduate Sch", affiliationaddress = "Monterey, CA, USA", classification = "723; 731.1; 731.2; 912.3; 913.4.1; 922.1", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "Adaptive control systems; Computer operating procedures; Dynamic service priority schemes; Estimation; Failure analysis; First come first served situation; Flexible manufacturing systems; Heavy traffic asymptotic analysis; Least available first situation; Logistics and repair; Longest line first situation; Mathematical models; Operations research; Ornstein--Uhlenbeck marginal joint distribution; Probability; Queue lengths; Queueing theory; Repair; Service adaptive multitype repairman problems", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Schmuland:1993:NOU, author = "Byron Schmuland", title = "Nonsymmetric {Ornstein--Uhlenbeck} processes in {Banach} space via {Dirichlet} forms", journal = j-CAN-J-MATH, volume = "45", number = "6", pages = "1324--1338", month = dec, year = "1993", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1993-075-6", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", bibdate = "Sat Sep 10 15:39:04 MDT 2011", bibsource = "http://cms.math.ca/cjm/v45/; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Shao:1993:LIL, author = "Qi Man Shao", title = "On the law of the iterated logarithm for infinite-dimensional {Ornstein--Uhlenbeck} processes", journal = j-CAN-J-MATH, volume = "45", number = "??", pages = "159--175", month = "????", year = "1993", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1993-009-2", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", bibdate = "Sat Sep 10 15:39:04 MDT 2011", bibsource = "http://cms.math.ca/cjm/v45/; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Suslin:1993:ETK, author = "V. M. Suslin", title = "Existence theorems for kinetic equations with the {Uehling--Uhlenbeck} collision integral", journal = j-DOKL-AKAD-NAUK, volume = "328", number = "5", pages = "567--569", year = "1993", CODEN = "DANKAS", ISSN = "0869-5652", MRclass = "82C10 (45K05)", MRnumber = "1218968", MRreviewer = "Andrzej Palczewski", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Rossi\u{\i}skaya Akademiya Nauk. Doklady Akademii Nauk", journal-URL = "http://istina.msu.ru/journals/366838/", } @Article{Bertoin:1994:AWP, author = "Jean Bertoin and Wendelin Werner", title = "Asymptotic windings of planar {Brownian} motion revisited via the {Ornstein--Uhlenbeck} process", journal = j-LECT-NOTES-MATH, volume = "1583", pages = "138--152", year = "1994", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0073842", ISBN = "3-540-58331-9 (print), 3-540-48656-9 (e-book)", ISBN-13 = "978-3-540-58331-8 (print), 978-3-540-48656-5 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "60J65 (60G17)", MRnumber = "1329109 (96b:60210)", MRreviewer = "Paul McGill", bibdate = "Fri May 9 19:07:03 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm1990.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0073842/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0073829", book-URL = "http://www.springerlink.com/content/978-3-540-48656-5", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kulkarni:1994:FMD, author = "Vidyadhar Kulkarni and Tomasz Rolski", title = "Fluid Model Driven by an {Ornstein--Uhlenbeck} Process", journal = j-PROBAB-ENGRG-INFORM-SCI, volume = "8", number = "3", pages = "403--417", month = jul, year = "1994", CODEN = "????", DOI = "https://doi.org/10.1017/S0269964800003491", ISSN = "0269-9648 (print), 1469-8951 (electronic)", ISSN-L = "0269-9648", bibdate = "Thu Aug 24 08:19:00 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-engrg-inform-sci.bib", URL = "https://www.cambridge.org/core/product/4ED62752F39F5B6B5D20C63ABE4E152B", acknowledgement = ack-nhfb, ajournal = "Probab. Engrg. Inform. Sci.", fjournal = "Probability in the Engineering and Informational Sciences", journal-URL = "http://www.journals.cambridge.org/jid_PES", onlinedate = "01 July 2009", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kutoyants:1994:MNE, author = "Y. Kutoyants and P. Pilibossian", title = "On minimum {$ L_1 $}-norm estimate of the parameter of the {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "20", number = "2", pages = "117--123", day = "27", month = may, year = "1994", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:14:52 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/0167715294900264", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Morita:1994:DPIb, author = "Akio Morita", title = "Diffusion processes with inertial effects and with boundary conditions --- a solution to the {Wang} and {Uhlenbeck} problem", journal = j-J-MATH-CHEM, volume = "16", number = "1", pages = "49--60", month = dec, year = "1994", CODEN = "JMCHEG", DOI = "https://doi.org/10.1007/BF01169195", ISSN = "0259-9791 (print), 1572-8897 (electronic)", ISSN-L = "0259-9791", MRclass = "82C31 (60J70)", MRnumber = "1304181", bibdate = "Thu Apr 9 18:13:44 MDT 2015", bibsource = "http://link.springer.com/journal/10910/16/1; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathchem.bib", URL = "http://link.springer.com/article/10.1007/BF01169195", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Chemistry", journal-URL = "http://link.springer.com/journal/10910", journalabr = "J. Math. Chem.", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Chen:1995:TDB, author = "Thomas M. Chen and Vijay K. Samalam", title = "Time-dependent behavior of fluid buffer models with {Markov} input and constant output rates", journal = j-SIAM-J-APPL-MATH, volume = "55", number = "3", pages = "784--799", month = jun, year = "1995", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "60K30 (60K25)", MRnumber = "96d:60151", MRreviewer = "P. R. Parthasarathy", bibdate = "Wed Dec 10 09:59:46 MST 1997", bibsource = "Compendex database; http://epubs.siam.org/toc/smjmap/55/3; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/24010", acknowledgement = ack-nhfb, affiliation = "GTE Lab Inc", affiliationaddress = "Waltham, MA, USA", classification = "631.1; 716.1; 921.6; 922.1; 922.2", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "Approximation theory; Buffer content moments; Conditional survivor function; Constant output rate; First passage time problem; Flow of fluids; Fluid buffer models; Fredholm integral equation; Integral equations; Markov input rate; Markov processes; Mathematical models; Neumann series; Ornstein--Uhlenbeck diffusion; Random processes; Statistical methods; Telecommunication systems", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Qian:1995:HOU, author = "Zhongmin Qian and Sheng-Wu He", title = "On the hypercontractivity of {Ornstein--Uhlenbeck} semigroups with drift", journal = j-LECT-NOTES-MATH, volume = "1613", pages = "202--217", year = "1995", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0094212", ISBN = "3-540-60219-4 (print), 3-540-44744-X (e-book)", ISBN-13 = "978-3-540-60219-4 (print), 978-3-540-44744-3 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "60J35 (47D07 60G20)", MRnumber = "1459461 (98h:60112)", MRreviewer = "Tu Sheng Zhang", bibdate = "Fri May 9 19:07:06 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm1990.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0094212/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0094193", book-URL = "http://www.springerlink.com/content/978-3-540-44744-3", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Simonian:1995:ADE, author = "Alain Simonian", title = "Asymptotic Distribution of Exit Times for Small-Noise Diffusions", journal = j-SIAM-J-APPL-MATH, volume = "55", number = "3", pages = "809--826", month = jun, year = "1995", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "60J60 (60F10 60K30)", MRnumber = "96f:60139", MRreviewer = "S. Ramasubramanian", bibdate = "Wed Dec 10 09:59:46 MST 1997", bibsource = "Compendex database; http://epubs.siam.org/toc/smjmap/55/3; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/24460", acknowledgement = ack-nhfb, affiliation = "Cent Natl d'Etudes des Telecommunications", affiliationaddress = "Issy-les-Moulineaux, Fr", classification = "716.1; 921.2; 921.6; 922.1; 931.2", fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", journalabr = "SIAM J Appl Math", keywords = "Approximation theory; Asymptotic evaluation; Brownian movement; Describing functions; Differential equations; Diffusion; Distribution function; Exit time; Large deviations theory; Logarithmic estimates; Mathematical models; Numerical analysis; Ornstein--Uhlenbeck process; Signal interference; Telecommunication systems", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ustunel:1995:GSD, author = "Ali S{\"u}leyman {\"U}st{\"u}nel", title = "{Gross--Sobolev} derivative, divergence and {Ornstein--Uhlenbeck} operator", journal = j-LECT-NOTES-MATH, volume = "1610", pages = "9--18", year = "1995", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0096330", ISBN = "3-540-60170-8 (print), 3-540-44662-1 (e-book)", ISBN-13 = "978-3-540-60170-8 (print), 978-3-540-44662-0 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", bibdate = "Fri May 9 19:07:08 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm1990.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0096330/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0096328", book-URL = "http://www.springerlink.com/content/978-3-540-44662-0", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Arato:1996:EDE, author = "M. Arat{\'o} and A. Kuki and A. Szab{\'o}", title = "Exact distribution of estimators of parameters in {Ornstein--Uhlenbeck} processes", journal = j-COMPUT-MATH-APPL, volume = "31", number = "11", pages = "45--54", month = jun, year = "1996", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:23 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/0898122196000600", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Carmona:1996:SSO, author = "Rene Carmona and Stanislav Grishin and Lin Xu and Stanislav Molchanov", title = "Surface Stretching for {Ornstein--Uhlenbeck} Velocity Fields", journal = j-ELECTRON-COMMUN-PROBAB, volume = "2", pages = "1:1--1:11", year = "1996", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v2-980", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/980", abstract = "The present note deals with large time properties of the Lagrangian trajectories of a turbulent flow in $ R^2 $ and $ R^3 $. We assume that the flow is driven by an incompressible time-dependent random velocity field with Gaussian statistics. We also assume that the field is homogeneous in space and stationary and Markovian in time. Such velocity fields can be viewed as (possibly infinite dimensional) Ornstein--Uhlenbeck processes. In d spatial dimensions we established the (strict) positivity of the sum of the largest $ d - 1 $ Lyapunov exponents. As a consequences of this result, we prove the exponential stretching of surface areas (when $ d = 3$) and of curve lengths (when $ d = 2$.) This confirms conjectures found in the theory of turbulent flows.", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "Diffusion Processes, Lyapunov Exponent, Stochastic Flows.", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jacobsen:1996:LOO, author = "Martin Jacobsen", title = "{Laplace} and the origin of the {Ornstein--Uhlenbeck} process", journal = j-BERNOULLI, volume = "2", number = "3", pages = "271--286", month = sep, year = "1996", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:07:17 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1178291723", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Arlotti:1997:ENSb, author = "Luisa Arlotti and Miroslaw Lachowicz", title = "{Euler} and {Navier--Stokes} limits of the {Uehling--Uhlenbeck} quantum kinetic equations", journal = j-J-MATH-PHYS, volume = "38", number = "7", pages = "3571--3588", month = jul, year = "1997", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.531869", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82C40 (35Q30 76D05 35Qxx 76Dxx)", MRnumber = "1 455 570", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Calzolari:1997:LMO, author = "Antonella Calzolari and Federico Marchetti", title = "Limit Motion of an {Ornstein--Uhlenbeck} Particle on the Equilibrium Manifold of a Force Field", journal = j-J-APPL-PROBAB, volume = "34", number = "4", pages = "924--938", month = dec, year = "1997", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3215007", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:43:47 MDT 2014", bibsource = "http://www.jstor.org/stable/i361369; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3215007", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Carmona:1997:SSO, author = "Rene A. Carmona and Stanislav Grishin and Lin Xu and Stanislav Molchanov", title = "Surface stretching for {Ornstein} {Uhlenbeck} velocity fields", journal = j-ELECTRON-COMMUN-PROBAB, volume = "2", pages = "1:1--1:11", year = "1997", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v2-980", ISSN = "1083-589X", ISSN-L = "1083-589X", MRclass = "60H25 (60H30)", MRnumber = "1448321 (99c:60132)", MRreviewer = "Nariyuki Minami", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Debbasch:1997:ROU, author = "F. Debbasch and K. Mallick and J. P. Rivet", title = "Relativistic {Ornstein--Uhlenbeck} Process", journal = j-J-STAT-PHYS, volume = "88", number = "3--4", pages = "945--966", month = aug, year = "1997", CODEN = "JSTPSB", DOI = "https://doi.org/10.1023/B:JOSS.0000015180.16261.53", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 18:51:54 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib", URL = "http://link.springer.com/article/10.1023/B:JOSS.0000015180.16261.53", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{He:1997:HOU, author = "Sheng-Wu He and Jia-Gang Wang", title = "The hypercontractivity of {Ornstein--Uhlenbeck} semigroups with drift, revisited", journal = j-LECT-NOTES-MATH, volume = "1655", pages = "80--84", year = "1997", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0119295", ISBN = "3-540-62634-4 (print), 3-540-68352-6 (e-book)", ISBN-13 = "978-3-540-62634-3 (print), 978-3-540-68352-0 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "60J35 (47B25 47D07)", MRnumber = "1478719 (99d:60085)", MRreviewer = "Tu Sheng Zhang", bibdate = "Fri May 9 19:07:11 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm1990.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0119295/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0119286", book-URL = "http://www.springerlink.com/content/978-3-540-68352-0", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Lefebvre:1997:FHP, author = "Mario Lefebvre", title = "First hitting place distributions for the {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "34", number = "3", pages = "309--312", day = "16", month = jun, year = "1997", CODEN = "SPLTDC", DOI = "https://doi.org/10.1016/S0167-7152(96)00195-2", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:15:32 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715296001952", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wang:1997:IRP, author = "H. Wang and X. Chen", title = "On the interval recurrence property of {$ (N, d) $--Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "33", number = "1", pages = "79--84", day = "15", month = apr, year = "1997", CODEN = "SPLTDC", DOI = "https://doi.org/10.1016/S0167-7152(96)00112-5", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:15:28 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715296001125", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bicout:1998:WUP, author = "D. J. Bicout and Attila Szabo", title = "On the {Wang--Uhlenbeck} Problem in Discrete Velocity Space", journal = j-J-STAT-PHYS, volume = "91", number = "5--6", pages = "1047--1054", month = jun, year = "1998", CODEN = "JSTPSB", DOI = "https://doi.org/10.1023/A:1023088118307", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", MRclass = "82C41", MRnumber = "1637286", bibdate = "Sat Aug 30 12:50:24 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib", URL = "http://link.springer.com/article/10.1023/A:1023088118307", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Debbasch:1998:DER, author = "F. Debbasch and J. P. Rivet", title = "A Diffusion Equation from the Relativistic {Ornstein--Uhlenbeck} Process", journal = j-J-STAT-PHYS, volume = "90", number = "5--6", pages = "1179--1199", month = mar, year = "1998", CODEN = "JSTPSB", DOI = "https://doi.org/10.1023/A:1023275210656", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Sat Aug 30 11:10:54 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib", URL = "http://link.springer.com/article/10.1023/A:1023275210656", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Norris:1998:OUP, author = "J. R. Norris", title = "{Ornstein--Uhlenbeck} processes indexed by the circle", journal = j-ANN-PROBAB, volume = "26", number = "2", pages = "465--478", month = apr, year = "1998", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab1990.bib", URL = "http://projecteuclid.org/euclid.aop/1022855640", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Arato:1999:FCO, author = "M. Arat{\'o} and S. Baran and M. Isp{\'a}ny", title = "Functionals of complex {Ornstein--Uhlenbeck} processes", journal = j-COMPUT-MATH-APPL, volume = "37", number = "1", pages = "1--13", month = jan, year = "1999", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:55 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122198002375", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Csaki:1999:CEB, author = "Endre Cs{\'a}ki and Davar Khoshnevisan and Zhan Shi", title = "Capacity Estimates, Boundary Crossings and the {Ornstein--Uhlenbeck} Process in {Wiener} Space", journal = j-ELECTRON-COMMUN-PROBAB, volume = "4", pages = "13:103--13:109", year = "1999", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v4-1011", ISSN = "1083-589X", ISSN-L = "1083-589X", MRclass = "60G15 (60G40 60G60 60J45 60J65)", MRnumber = "1741736 (2001g:60083)", MRreviewer = "Shi Zan Fang", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/1011", abstract = "Let $ T_1 $ denote the first passage time to 1 of a standard Brownian motion. It is well known that as $ \lambda $ goes to infinity, $ P \{ T_1 > \lambda \} $ goes to zero at rate $ c \lambda^{-1 / 2} $, where $c$ equals $ (2 / \pi)^{1 / 2}$. The goal of this note is to establish a quantitative, infinite dimensional version of this result. Namely, we will prove the existence of positive and finite constants $ K_1$ and $ K_2$, such that for all $ \lambda > e^e$, \par $$ K_1 \lambda^{-1 / 2} \leq \text {Cap} \{ T_1 > \lambda \} \leq K_2 \lambda^{-1 / 2} \log^3 (\lambda) \cdot \log \log (\lambda), $$ where `$ \log $' denotes the natural logarithm, and $ \text {Cap}$ is the Fukushima-Malliavin capacity on the space of continuous functions.", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "Capacity on Wiener space, quasi-sure analysis, Ornstein--Uhlenbeck process, Brownian sheet.", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Elworthy:1999:ISL, author = "K. D. Elworthy and Xue-Mei Li and M. Yor", title = "The importance of strictly local martingales; applications to radial {Ornstein--Uhlenbeck} processes", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "115", number = "3", pages = "325--355", month = oct, year = "1999", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/s004400050240", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sun Apr 27 11:19:05 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/s004400050240", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fang:1999:STB, author = "S. Fang and T. S. Zhang", title = "On the small time behavior of {Ornstein--Uhlenbeck} processes with unbounded linear drifts", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "114", number = "4", pages = "487--504", month = jul, year = "1999", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/s004400050232", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sun Apr 27 11:19:04 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/s004400050232", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Florens-Landais:1999:LDE, author = "Danielle Florens-Landais and Huy{\^e}n Pham", title = "Large Deviations in Estimation of an {Ornstein--Uhlenbeck} Model", journal = j-J-APPL-PROBAB, volume = "36", number = "1", pages = "60--77", month = mar, year = "1999", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3215402", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:43:52 MDT 2014", bibsource = "http://www.jstor.org/stable/i361374; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3215402", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Heck:1999:PLD, author = "Matthias K. Heck", title = "Principles of Large Deviations for the Empirical Processes of the {Ornstein--Uhlenbeck} Process", journal = j-J-THEOR-PROBAB, volume = "12", number = "1", pages = "147--179", month = jan, year = "1999", CODEN = "JTPREO", DOI = "https://doi.org/10.1023/A:1021700811752", ISSN = "0894-9840 (print), 1572-9230 (electronic)", ISSN-L = "0894-9840", bibdate = "Thu Aug 28 19:00:35 MDT 2014", bibsource = "http://link.springer.com/journal/10959; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0894-9840&volume=12&issue=1; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib", URL = "http://link.springer.com/article/10.1023/A:1021700811752", acknowledgement = ack-nhfb, fjournal = "Journal of Theoretical Probability", journal-URL = "http://link.springer.com/journal/10959", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Igloi:1999:LRD, author = "E. Igl{\'o}i and G. Terdik", title = "Long-range dependence through gamma-mixed {Ornstein--Uhlenbeck} process", journal = j-ELECTRON-J-PROBAB, volume = "4", pages = "16:1--16:33", year = "1999", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v4-53", ISSN = "1083-6489", MRclass = "60H05 (60G15 60G18 60H10)", MRnumber = "1713649 (2000m:60060)", MRreviewer = "V. V. Anh", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/53", abstract = "The limit process of aggregational models---(i) sum of random coefficient AR(1) processes with independent Brownian motion (BM) inputs and (ii) sum of AR(1) processes with random coefficients of Gamma distribution and with input of common BM's, ---proves to be Gaussian and stationary and its transfer function is the mixture of transfer functions of Ornstein--Uhlenbeck (OU) processes by Gamma distribution. It is called Gamma-mixed Ornstein--Uhlenbeck process ($ \Gamma \mathsf {MOU}$). For independent Poisson alternating $0$-$1$ reward processes with proper random intensity it is shown that the standardized sum of the processes converges to the standardized $ \Gamma \mathsf {MOU}$ process. The $ \Gamma \mathsf {MOU}$ process has various interesting properties and it is a new candidate for the successful modelling of several Gaussian stationary data with long-range dependence. Possible applications and problems are also considered.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Stationarity, Long-range dependence, Spectral representation, Ornstein--Uhlenbeck process, Aggregational model, Stochastic differential equation, Fractional Brownian motion input, Heart rate variability", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jensen:1999:OUT, author = "Jens Ledet Jensen and Jan Pedersen", title = "{Ornstein--Uhlenbeck} Type Processes with Non-Normal Distribution", journal = j-J-APPL-PROBAB, volume = "36", number = "2", pages = "389--402", month = jun, year = "1999", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3215463", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:43:53 MDT 2014", bibsource = "http://www.jstor.org/stable/i361375; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3215463", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @InCollection{Scully:1999:DCT, author = "Marlan O. Scully and Kishor T. Kapale", booktitle = "Relativity, particle physics and cosmology ({College} {Station}, {TX}, 1998)", title = "Does the critical temperature concept make sense for {Bose} {Einstein} condensation in mesoscopic systems? or {Is} there an easy resolution to the {Uhlenbeck} dilemma?", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "181--189", year = "1999", MRclass = "82B27", MRnumber = "1703804", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, } @Article{Garbaczewski:2000:OUC, author = "Piotr Garbaczewski and Robert Olkiewicz", title = "{Ornstein--Uhlenbeck--Cauchy} process", journal = j-J-MATH-PHYS, volume = "41", number = "10", pages = "6843--6860", month = oct, year = "2000", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Fri Oct 20 08:10:40 MDT 2000", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", } @Article{Leon:2000:AOU, author = "Jos{\'e} R. Le{\'o}n and Gonzalo Perera", title = "Approximation of the {Ornstein--Uhlenbeck} local time by harmonic oscillators", journal = j-BERNOULLI, volume = "6", number = "2", pages = "357--379", month = apr, year = "2000", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:07:30 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1081788033", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Li:2000:OUT, author = "Zeng-Hu Li", title = "{Ornstein--Uhlenbeck} Type Processes and Branching Processes with Immigration", journal = j-J-APPL-PROBAB, volume = "37", number = "3", pages = "627--634", month = sep, year = "2000", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3215600", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:43:58 MDT 2014", bibsource = "http://www.jstor.org/stable/i361380; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3215600", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Lladser:2000:DAQ, author = "Manuel Lladser and Jaime {San Mart{\'\i}n}", title = "Domain of Attraction of the Quasi-Stationary Distributions for the {Ornstein--Uhlenbeck} Process", journal = j-J-APPL-PROBAB, volume = "37", number = "2", pages = "511--520", month = jun, year = "2000", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3215725", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:43:57 MDT 2014", bibsource = "http://www.jstor.org/stable/i361379; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3215725", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Arato:2001:AIS, author = "M. Arat{\'o} and G. Pap and M. C. A. van Zuijlen", title = "Asymptotic inference for spatial autoregression and orthogonality of {Ornstein--Uhlenbeck} sheets", journal = j-COMPUT-MATH-APPL, volume = "42", number = "1--2", pages = "219--229", month = jul, year = "2001", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:49:16 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122101001468", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Barndorff-Nielsen:2001:SOU, author = "O. E. Barndorff-Nielsen", title = "Superposition of {Ornstein--Uhlenbeck} Type Processes", journal = j-THEORY-PROBAB-APPL, volume = "45", number = "2", pages = "175--194", month = jun, year = "2001", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97978166", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 1 10:42:36 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/45/2; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/97816", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2001", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bishwal:2001:ANA, author = "J. P. N. Bishwal", title = "Accuracy of normal approximation for the maximum likelihood estimator and {Bayes} estimators in the {Ornstein--Uhlenbeck} process using random normings", journal = j-STAT-PROB-LETT, volume = "52", number = "4", pages = "427--439", day = "1", month = may, year = "2001", CODEN = "SPLTDC", DOI = "https://doi.org/10.1016/S0167-7152(01)00026-8", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:16:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715201000268", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bishwal:2001:RCA, author = "J. P. N. Bishwal and A. Bose", title = "Rates of convergence of approximate maximum likelihood estimators in the {Ornstein--Uhlenbeck} process", journal = j-COMPUT-MATH-APPL, volume = "42", number = "1--2", pages = "23--38", month = jul, year = "2001", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:49:16 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122101001274", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Gloter:2001:PED, author = "Arnaud Gloter", title = "Parameter estimation for a discrete sampling of an integrated {Ornstein--Uhlenbeck} process", journal = j-STATISTICS, volume = "35", number = "3", pages = "225--243", year = "2001", CODEN = "MOSSD5", DOI = "https://doi.org/10.1080/02331880108802733", ISSN = "0233-1888 (print), 1029-4910 (electronic)", ISSN-L = "0233-1888", bibdate = "Wed Oct 8 11:24:27 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statistics.bib", acknowledgement = ack-nhfb, fjournal = "Statistics: a Journal of Theoretical and Applied Statistics", journal-URL = "http://www.tandfonline.com/loi/gsta20", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kolokoltsov:2001:SDF, author = "Vassili Kolokoltsov", title = "Small Diffusion and Fast Dying Out Asymptotics for Superprocesses as Non-{Hamiltonian} Quasiclassics for Evolution Equations", journal = j-ELECTRON-J-PROBAB, volume = "6", pages = "21:1--21:16", year = "2001", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v6-94", ISSN = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/94", abstract = "The small diffusion and fast dying out asymptotics is calculated for nonlinear equations of a class of superprocesses on manifolds, and the corresponding logarithmic limit of the solution is shown to be given by a solution of a certain problem of calculus of variations with a non-additive (and non-integral) functional.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Dawson--Watanabe superprocess, reaction diffusion equation, logarithmic limit, small diffusion asymptotics, curvilinear Ornstein--Uhlenbeck process", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Misc{OConnor:2001:GEU, author = "J. J. O'Connor and E. F. Robertson", title = "{George Eugene Uhlenbeck}", howpublished = "Web site at the School of Mathematics and Statistics, University of St Andrews, Scotland.", month = may, year = "2001", bibdate = "Fri Apr 19 06:09:25 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://www-history.mcs.st-andrews.ac.uk/Biographies/Uhlenbeck.html", acknowledgement = ack-nhfb, } @Article{Arato:2002:NSI, author = "M. Arat{\'o} and S. Fegyverneki", title = "New statistical investigations of the {Ornstein--Uhlenbeck} process", journal = j-COMPUT-MATH-APPL, volume = "44", number = "5--6", pages = "677--692", month = sep, year = "2002", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:49:25 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122102001827", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bercu:2002:SLD, author = "B. Bercu and A. Rouault", title = "Sharp Large Deviations for the {Ornstein--Uhlenbeck} Process", journal = j-THEORY-PROBAB-APPL, volume = "46", number = "1", pages = "1--19", month = mar, year = "2002", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97978737", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 1 10:42:45 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/46/1; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/97873", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2002", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Cheremisin:2002:SWC, author = "F. G. Cheremisin", title = "Solution of the {Wang} {Chang--Uhlenbeck} kinetic equation", journal = j-DOKL-AKAD-NAUK, volume = "387", number = "4", pages = "487--490", year = "2002", CODEN = "DANKAS", DOI = "https://doi.org/10.1134/1.1536219", ISSN = "0869-5652", MRclass = "82C40 (82C80)", MRnumber = "2006033", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Rossi\u{\i}skaya Akademiya Nauk. Doklady Akademii Nauk", journal-URL = "http://istina.msu.ru/journals/366838/", } @Article{Chojnowska-Michalik:2002:SOU, author = "Anna Chojnowska-Michalik and Beniamin Goldys", title = "Symmetric {Ornstein--Uhlenbeck} semigroups and their generators", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "124", number = "4", pages = "459--486", month = dec, year = "2002", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/s004400200222", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sun Apr 27 11:19:20 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/s004400200222", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fannjiang:2002:DLR, author = "Albert Fannjiang and Tomasz Komorowski", title = "Diffusion in Long-Range Correlated {Ornstein--Uhlenbeck} Flows", journal = j-ELECTRON-J-PROBAB, volume = "7", pages = "20:1--20:22", year = "2002", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v7-119", ISSN = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/119", abstract = "We study a diffusion process with a molecular diffusion and random Markovian--Gaussian drift for which the usual (spatial) Peclet number is infinite. We introduce a temporal Peclet number and we prove that, under the finiteness of the temporal Peclet number, the laws of diffusions under the diffusive rescaling converge weakly, to the law of a Brownian motion. We also show that the effective diffusivity has a finite, nonzero limit as the molecular diffusion tends to zero.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Ornstein--Uhlenbeck flow, martingale central limit theorem, homogenization, Peclet number", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Pedersen:2002:POU, author = "Jan Pedersen", title = "Periodic {Ornstein--Uhlenbeck} Processes Driven by {L{\'e}vy} Processes", journal = j-J-APPL-PROBAB, volume = "39", number = "4", pages = "748--763", month = dec, year = "2002", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/3216000", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:09 MDT 2014", bibsource = "http://www.jstor.org/stable/i361390; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/3216000", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Baran:2003:EMS, author = "S. Baran and G. Pap and M. C. A. van Zuijlen", title = "Estimation of the mean of stationary and nonstationary {Ornstein--Uhlenbeck} processes and sheets", journal = j-COMPUT-MATH-APPL, volume = "45", number = "4--5", pages = "563--579", month = feb # "\slash " # mar, year = "2003", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:49:28 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122103000178", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Cheridito:2003:FOU, author = "Patrick Cheridito and Hideyuki Kawaguchi and Makoto Maejima", title = "Fractional {Ornstein--Uhlenbeck} processes", journal = j-ELECTRON-J-PROBAB, volume = "8", pages = "3:1--3:14", year = "2003", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v8-125", ISSN = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/125", abstract = "The classical stationary Ornstein--Uhlenbeck process can be obtained in two different ways. On the one hand, it is a stationary solution of the Langevin equation with Brownian motion noise. On the other hand, it can be obtained from Brownian motion by the so called Lamperti transformation. We show that the Langevin equation with fractional Brownian motion noise also has a stationary solution and that the decay of its auto-covariance function is like that of a power function. Contrary to that, the stationary process obtained from fractional Brownian motion by the Lamperti transformation has an auto-covariance function that decays exponentially.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Fractional Brownian motion, Langevin equation, Long-range dependence, Self-similar processes, Lamperti transformation", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Dellacherie:2003:CWCb, author = "St{\'e}phane Dellacherie", title = "Coupling of the {Wang} {Chang--Uhlenbeck} equations with the multispecies {Euler} system", journal = j-J-COMPUT-PHYS, volume = "189", number = "1", pages = "239--276", day = "20", month = jul, year = "2003", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/S0021-9991(03)00210-9", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "82C80 (76P05 76T99 82D75)", MRnumber = "1988149", MRreviewer = "Matthias K. Gobbert", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999103002109", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fuhrman:2003:LCS, author = "Marco Fuhrman and Anna Maria Paganoni", title = "Linear Control Systems on Unbounded Time Intervals and Invariant Measures of {Ornstein--Uhlenbeck} Processes in {Hilbert} Spaces", journal = j-SIAM-J-CONTROL-OPTIM, volume = "42", number = "5", pages = "1776--1794", month = sep, year = "2003", CODEN = "SJCODC", DOI = "https://doi.org/10.1137/S0363012902414652", ISSN = "0363-0129 (print), 1095-7138 (electronic)", ISSN-L = "0363-0129", bibdate = "Sun Mar 30 13:34:18 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/42/5; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/41465", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Control and Optimization", journal-URL = "http://epubs.siam.org/sicon", journalabr = "SIAM J Control Optim", onlinedate = "January 2003", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Maejima:2003:LMS, author = "Makoto Maejima and Kenji Yamamoto", title = "Long-Memory Stable {Ornstein--Uhlenbeck} Processes", journal = j-ELECTRON-J-PROBAB, volume = "8", pages = "19:1--19:18", year = "2003", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v8-168", ISSN = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/168", abstract = "The solution of the Langevin equation driven by a L{\'e}vy process noise has been well studied, under the name of Ornstein--Uhlenbeck type process. It is a stationary Markov process. When the noise is fractional Brownian motion, the covariance of the stationary solution process has been studied by the first author with different coauthors. In the present paper, we consider the Langevin equation driven by a linear fractional stable motion noise, which is a selfsimilar process with long-range dependence but does not have finite variance, and we investigate the dependence structure of the solution process.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Stephane:2003:WCU, author = "Dellacherie St{\'e}phane", title = "On the {Wang Chang--Uhlenbeck} equations", journal = "Discrete Contin. Dyn. Syst. Ser. B", volume = "3", number = "2", pages = "229--253", year = "2003", DOI = "https://doi.org/10.3934/dcdsb.2003.3.229", ISSN = "1531-3492", MRclass = "82B40 (76K05 76P05 82C40 82D05)", MRnumber = "1973415", MRreviewer = "Nicola Bellomo", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Discrete and Continuous Dynamical Systems. Series B. A Journal Bridging Mathematics and Sciences", } @Article{Donati-Martin:2004:LDS, author = "C. Donati-Martin and A. Rouault and M. Yor and M. Zani", title = "Large deviations for squares of {Bessel} and {Ornstein--Uhlenbeck} processes", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "129", number = "2", pages = "261--289", month = jun, year = "2004", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/s00440-004-0338-y", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sun Apr 27 11:19:26 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/s00440-004-0338-y", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fannjiang:2004:CPS, author = "Albert C. Fannjiang", title = "Convergence of Passive Scalar Fields in {Ornstein--Uhlenbeck} Flows to {Kraichnan}'s Model", journal = j-J-STAT-PHYS, volume = "114", number = "1--2", pages = "115--135", month = jan, year = "2004", CODEN = "JSTPSB", DOI = "https://doi.org/10.1023/B:JOSS.0000003106.02538.ae", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:02:20 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib", URL = "http://link.springer.com/article/10.1023/B:JOSS.0000003106.02538.ae", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ko:2004:CFQ, author = "Chul Ki Ko and Yong Moon Park", title = "Construction of a family of quantum {Ornstein--Uhlenbeck} semigroups", journal = j-J-MATH-PHYS, volume = "45", number = "2", pages = "609--627", month = feb, year = "2004", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.1641150", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Tue Oct 25 18:16:53 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v45/i2/p609_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "20 January 2004", pagecount = "19", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Masuda:2004:MOU, author = "Hiroki Masuda", title = "On multidimensional {Ornstein--Uhlenbeck} processes driven by a general {L{\'e}vy} process", journal = j-BERNOULLI, volume = "10", number = "1", pages = "97--120", month = feb, year = "2004", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:07:48 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1077544605", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Novikov:2004:MFP, author = "A. Novikov", title = "Martingales and First-Passage Times for {Ornstein--Uhlenbeck} Processes with a Jump Component", journal = j-THEORY-PROBAB-APPL, volume = "48", number = "2", pages = "288--303", month = jun, year = "2004", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97980403", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 1 10:43:11 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/48/2; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/98040", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2004", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Oppenheim:2004:ARP, author = "Georges Oppenheim and Marie-Claude Viano", title = "Aggregation of random parameters {Ornstein--Uhlenbeck} or {AR} processes: some convergence results", journal = j-J-TIME-SER-ANAL, volume = "25", number = "3", pages = "335--350", month = may, year = "2004", CODEN = "JTSADL", DOI = "https://doi.org/10.1111/j.1467-9892.2004.01775.x", ISSN = "0143-9782 (print), 1467-9892 (electronic)", ISSN-L = "0143-9782", bibdate = "Tue Mar 5 16:29:07 MST 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtimeseranal.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Time Series Analysis", journal-URL = "https://onlinelibrary.wiley.com/journal/14679892", onlinedate = "14 May 2004", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Roberts:2004:BIN, author = "Gareth O. Roberts and Omiros Papaspiliopoulos and Petros Dellaportas", title = "{Bayesian} Inference for Non-{Gaussian} {Ornstein--Uhlenbeck} Stochastic Volatility Processes", journal = j-J-R-STAT-SOC-SER-B-STAT-METHODOL, volume = "66", number = "2", pages = "369--393", month = may, year = "2004", CODEN = "JSTBAJ", DOI = "https://doi.org/10.1111/j.1369-7412.2004.05139.x; https://doi.org/10.2307/3647531", ISSN = "1369-7412 (print), 1467-9868 (electronic)", ISSN-L = "1369-7412", bibdate = "Sat Jan 24 08:09:34 MST 2015", bibsource = "http://www.jstor.org/stable/i369669; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jrss-b.bib", URL = "http://www.jstor.org/stable/3647531", acknowledgement = ack-nhfb, fjournal = "Journal of the Royal Statistical Society. Series B (Statistical Methodology)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9868; http://www.jstor.org/journals/13697412.html", onlinedate = "14 Apr 2004", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Benabou:2005:SBP, author = "Ga{\"e}l Benabou", title = "Superdiffusive Behaviour of a Passive {Ornstein--Uhlenbeck} Tracer in a Turbulent Shear Flow", journal = j-J-STAT-PHYS, volume = "121", number = "3--4", pages = "319--341", month = nov, year = "2005", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-005-7003-4", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:04:38 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib", URL = "http://link.springer.com/article/10.1007/s10955-005-7003-4", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Cicortas:2005:RUP, author = "Gra{\c{t}}iela Cicorta{\c{s}}", title = "Remarks on {Uhlenbeck}'s perturbation method", journal = "Mathematica", volume = "47(70)", number = "2", pages = "137--143", year = "2005", ISSN = "1222-9016", MRclass = "58E05", MRnumber = "2165310", MRreviewer = "James F. Reineck", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Mathematica", } @Article{Eliazar:2005:SOU, author = "Iddo Eliazar and Joseph Klafter", title = "Stochastic {Ornstein--Uhlenbeck} Capacitors", journal = j-J-STAT-PHYS, volume = "118", number = "1--2", pages = "177--198", month = jan, year = "2005", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-004-8782-8", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:03:20 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib", URL = "http://link.springer.com/article/10.1007/s10955-004-8782-8", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Erickson:2005:GOU, author = "K. Bruce Erickson and Ross A. Maller", title = "Generalised {Ornstein--Uhlenbeck} Processes and the Convergence of {L{\'e}vy} Integrals", journal = j-LECT-NOTES-MATH, volume = "1857", pages = "70--94", year = "2005", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/978-3-540-31449-3_6", ISBN = "3-540-23973-1 (print), 3-540-31449-0 (e-book)", ISBN-13 = "978-3-540-23973-4 (print), 978-3-540-31449-3 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "60H05 (60G51; 60J25); 60G51 (60F15 60H05 60H30 60K05)", MRnumber = "2126967 (2006b:60099)", MRreviewer = "Ingo Fahrner", bibdate = "Fri May 9 19:07:04 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm2000.bib", URL = "http://link.springer.com/content/pdf/10.1007/978-3-540-31449-3_6.pdf", ZMnumber = "1066.60053", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/b104072", book-URL = "http://www.springerlink.com/content/978-3-540-31449-3", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @InCollection{Franklin:2005:KUT, author = "Allan Franklin", editor = "Jed Z. Buchwald and Allan Franklin", booktitle = "Wrong for the Right Reasons", title = "The {Konopinski--Uhlenbeck} Theory of $ \beta $ Decay: Its Proposal and Refutation", chapter = "10", volume = "11", publisher = pub-SPRINGER, address = pub-SPRINGER:adr, pages = "209--228", year = "2005", DOI = "https://doi.org/10.1007/1-4020-3048-7_10", ISBN = "1-4020-3048-7", ISBN-13 = "978-1-4020-3048-2", ISSN = "1385-0180 (print), 2215-0064 (electronic)", ISSN-L = "1385-0180", bibdate = "Wed Jun 13 06:47:14 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/archimedes.bib", series = "Archimedes: New Studies in the History and Philosophy of Science and Technology", URL = "https://link.springer.com/chapter/10.1007/1-4020-3048-7_10", acknowledgement = ack-nhfb, series-URL = "http://www.springer.com/series/5644", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Harge:2005:CEC, author = "Gilles Harg{\'e}", title = "Characterization of equality in the correlation inequality for convex functions, the {$U$}-conjecture", journal = j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST, volume = "41", number = "4", pages = "753--765", month = jul # "\slash " # aug, year = "2005", CODEN = "AHPBAR", DOI = "https://doi.org/10.1016/j.anihpb.2004.05.005", ISSN = "0246-0203 (print), 1778-7017 (electronic)", ISSN-L = "0246-0203", MRnumber = "2144232", bibdate = "Mon Jun 9 05:36:00 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annihpb.bib", URL = "http://www.numdam.org/item?id=AIHPB_2005__41_4_753_0; http://www.sciencedirect.com/science/article/pii/S0246020304000639", ZMnumber = "1070.60018", acknowledgement = ack-nhfb, fjournal = "Annales de l'Institut Henri Poincar{\'e}. Probabilit{\'e}s et Statistiques", journal-URL = "http://www.numdam.org/numdam-bin/feuilleter?j=AIHPB; http://www.sciencedirect.com/science/journal/02460203/", keywords = "Convexity; Correlation; Gaussian measure; Ornstein Uhlenbeck semigroup", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Igloi:2005:ROT, author = "Endre Igl{\'o}i", title = "A Rate-Optimal Trigonometric Series Expansion of the Fractional {Brownian} Motion", journal = j-ELECTRON-J-PROBAB, volume = "10", pages = "41:1381--41:1397", year = "2005", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v10-287", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/287", abstract = "Let $ B^{(H)}(t), t \in [ - 1, 1] $, be the fractional Brownian motion with Hurst parameter $ H \in (1 / 2, 1) $. In this paper we present the series representation $ B^{(H)}(t) = a_0 t \xi_0 + \sum_{j = 1}^{\infty }a_j((1 \cos (j \pi t)) \xi_j + \sin (j \pi t) \widetilde {\xi }_j), t \in [ - 1, 1] $, where $ a_j, j \in \mathbb {N} \cup {0} $, are constants given explicitly, and $ \xi_j, j \in \mathbb {N} \cup {0} $, $ \widetilde {\xi }_j, j \in \mathbb {N} $, are independent standard Gaussian random variables. We show that the series converges almost surely in $ C[ - 1, 1] $, and in mean-square (in $ L^2 (\Omega)$), uniformly in $ t \in [ - 1, 1]$. Moreover we prove that the series expansion has an optimal rate of convergence.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "fractional Brownian motion; function series expansion; Gamma-mixed Ornstein--Uhlenbeck process; rate of convergence", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jongbloed:2005:NIL, author = "G. Jongbloed and F. H. {Van Der Meulen} and A. W. {Van Der Vaart}", title = "Nonparametric inference for {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes", journal = j-BERNOULLI, volume = "11", number = "5", pages = "759--791", month = oct, year = "2005", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:07:55 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1130077593", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Lachaud:2005:CHT, author = "B. Lachaud", title = "Cut-off and Hitting Times of a Sample of {Ornstein--Uhlenbeck} Processes and Its Average", journal = j-J-APPL-PROBAB, volume = "42", number = "4", pages = "1069--1080", month = dec, year = "2005", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/30040829", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:22 MDT 2014", bibsource = "http://www.jstor.org/stable/i30040814; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/30040829", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Mallick:2005:AOD, author = "Kirone Mallick and Philippe Marcq", title = "Anharmonic Oscillator Driven by Additive {Ornstein--Uhlenbeck} Noise", journal = j-J-STAT-PHYS, volume = "119", number = "1--2", pages = "1--33", month = apr, year = "2005", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-004-2135-5", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:03:42 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib", URL = "http://link.springer.com/article/10.1007/s10955-004-2135-5", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Mannheim:2005:DQP, author = "Philip D. Mannheim and Aharon Davidson", title = "{Dirac} quantization of the {Pais--Uhlenbeck} fourth order oscillator", journal = j-PHYS-REV-A-3, volume = "71", number = "4", pages = "042110, 9", year = "2005", CODEN = "PLRAAN", DOI = "https://doi.org/10.1103/PhysRevA.71.042110", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", MRclass = "81T10", MRnumber = "2143763", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Physical Review. A. Third Series", journal-URL = "http://pra.aps.org/browse", } @Article{Pedersen:2005:CDP, author = "Jan Pedersen and Ken-Iti Sato", title = "The Class of Distributions of Periodic {Ornstein--Uhlenbeck} Processes Driven by {L{\'e}vy} Processes", journal = j-J-THEOR-PROBAB, volume = "18", number = "1", pages = "209--235", month = jan, year = "2005", CODEN = "JTPREO", DOI = "https://doi.org/10.1007/s10959-004-2595-1", ISSN = "0894-9840 (print), 1572-9230 (electronic)", ISSN-L = "0894-9840", bibdate = "Thu Aug 28 19:02:46 MDT 2014", bibsource = "http://link.springer.com/journal/10959; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0894-9840&volume=18&issue=1; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib", URL = "http://link.springer.com/article/10.1007/s10959-004-2595-1", acknowledgement = ack-nhfb, fjournal = "Journal of Theoretical Probability", journal-URL = "http://link.springer.com/journal/10959", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Rigotti:2005:TGR, author = "M. Rigotti and F. Debbasch", title = "An {$H$}-theorem for the general relativistic {Ornstein--Uhlenbeck} process", journal = j-J-MATH-PHYS, volume = "46", number = "10", pages = "103303", month = oct, year = "2005", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.2038627", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Wed Oct 26 09:03:48 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v46/i10/p103303_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "26 October 2005", pagecount = "11", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Applebaum:2006:MVM, author = "David Applebaum", title = "Martingale-Valued Measures, {Ornstein--Uhlenbeck} Processes with Jumps and Operator Self-Decomposability in {Hilbert} Space", journal = j-LECT-NOTES-MATH, volume = "1874", pages = "171--196", year = "2006", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/978-3-540-35513-7_14", ISBN = "3-540-30994-2 (print), 3-540-35513-8 (e-book)", ISBN-13 = "978-3-540-30994-9 (print), 978-3-540-35513-7 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "60G44 (60G51; 60H10; 47D03); 60G44 (60G51 60H10)", MRnumber = "2276896 (2008d:60062)", MRreviewer = "Vladimir I. Bogachev", bibdate = "Fri May 9 19:07:05 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm2000.bib", URL = "http://link.springer.com/content/pdf/10.1007/978-3-540-35513-7_14.pdf", ZMnumber = "1133.60020", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/b128398", book-URL = "http://www.springerlink.com/content/978-3-540-35513-7", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bezuglyy:2006:GOU, author = "V. Bezuglyy and B. Mehlig and M. Wilkinson and K. Nakamura and E. Arvedson", title = "Generalized {Ornstein--Uhlenbeck} processes", journal = j-J-MATH-PHYS, volume = "47", number = "7", pages = "073301", month = jul, year = "2006", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.2206878", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Wed Oct 26 09:04:26 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v47/i7/p073301_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "17 July 2006", pagecount = "21", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bishwal:2006:RWC, author = "Jaya P. N. Bishwal", title = "Rates of weak convergence of approximate minimum contrast estimators for the discretely observed {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "76", number = "13", pages = "1397--1409", day = "15", month = jul, year = "2006", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:17:18 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715206000472", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Damaskinsky:2006:RQP, author = "E. V. Damaskinsky and M. A. Sokolov", title = "Remarks on quantization of {Pais--Uhlenbeck} oscillators", journal = j-J-PHYS-A, volume = "39", number = "33", pages = "10499--10507", year = "2006", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/39/33/017", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "81S05", MRnumber = "2256607", MRreviewer = "Boris I. Zhilinskii", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/1751-8121", } @Article{Fleischmann:2006:HLF, author = "Klaus Fleischmann and Peter M{\"o}rters and Vitali Wachtel", title = "Hydrodynamic Limit Fluctuations of Super-{Brownian} Motion with a Stable Catalyst", journal = j-ELECTRON-J-PROBAB, volume = "11", pages = "29:723--29:767", year = "2006", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v11-348", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/348", abstract = "We consider the behaviour of a continuous super-Brownian motion catalysed by a random medium with infinite overall density under the hydrodynamic scaling of mass, time, and space. We show that, in supercritical dimensions, the scaled process converges to a macroscopic heat flow, and the appropriately rescaled random fluctuations around this macroscopic flow are asymptotically bounded, in the sense of log-Laplace transforms, by generalised stable Ornstein--Uhlenbeck processes. The most interesting new effect we observe is the occurrence of an index-jump from a Gaussian situation to stable fluctuations of index $ 1 + \gamma $, where $ \gamma \in (0, 1) $ is an index associated to the medium.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Catalyst, reactant, superprocess, critical scaling, refined law of large numbers, catalytic branching, stable medium, random environment, supercritical dimension, generalised stable Ornstein--Uhlenbeck process, index jump, parabolic Anderson model with sta", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Griffin:2006:ING, author = "J. E. Griffin and M. F. J. Steel", title = "Inference with non-{Gaussian} {Ornstein--Uhlenbeck} processes for stochastic volatility", journal = j-J-ECONOMETRICS, volume = "134", number = "2", pages = "605--644", month = oct, year = "2006", CODEN = "JECMB6", DOI = "https://doi.org/10.1016/j.jeconom.2005.07.007", ISSN = "0304-4076 (print), 1872-6895 (electronic)", ISSN-L = "0304-4076", bibdate = "Wed Mar 6 14:49:12 MST 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jeconometrics2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0304407605001570", acknowledgement = ack-nhfb, fjournal = "Journal of Econometrics", journal-URL = "http://www.sciencedirect.com/science/journal/03044076", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kiessling:2006:LFP, author = "Michael Kiessling and Carlo Lancellotti", title = "The Linear {Fokker--Planck} Equation for the {Ornstein--Uhlenbeck} Process as an (Almost) Nonlinear Kinetic Equation for an Isolated {$N$}-Particle System", journal = j-J-STAT-PHYS, volume = "123", number = "3", pages = "525--546", month = may, year = "2006", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-006-9057-3", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:05:31 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib", URL = "http://link.springer.com/article/10.1007/s10955-006-9057-3", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kondo:2006:SPE, author = "Hitoshi Kondo and Makoto Maejima and Ken-iti Sato", title = "Some properties of exponential integrals of {L{\'e}vy} processes and examples", journal = j-ELECTRON-COMMUN-PROBAB, volume = "11", pages = "30:291--30:303", year = "2006", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v11-1232", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/1232", abstract = "The improper stochastic integral $ Z = \int_0^{\infty -} \exp ( - X_{s-})d Y_s $ is studied, where $ { (X_t, Y_t), t \geq 0 } $ is a L{\'e}vy process on $ R^{1 + d} $ with $ {X_t } $ and $ {Y_t } $ being $R$-valued and $ R^d$-valued, respectively. The condition for existence and finiteness of $Z$ is given and then the law $ {\cal L}(Z)$ of $Z$ is considered. Some sufficient conditions for $ {\cal L}(Z)$ to be selfdecomposable and some sufficient conditions for $ {\cal L}(Z)$ to be non-selfdecomposable but semi-selfdecomposable are given. Attention is paid to the case where $ d = 1$, $ {X_t}$ is a Poisson process, and $ {X_t}$ and $ {Y_t}$ are independent. An example of $Z$ of type $G$ with selfdecomposable mixing distribution is given", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "Generalized Ornstein--Uhlenbeck process, L{\'e}vy process, selfdecomposability, semi-selfdecomposability, stochastic integral", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{oglu:2006:TMG, author = "{\"O}zg{\"u}r Sar\i o{\u{g}}lu and Bayram Tekin", title = "Topologically massive gravity as a {Pais--Uhlenbeck} oscillator", journal = j-CLASS-QUANTUM-GRAV, volume = "23", number = "24", pages = "7541--7549", year = "2006", CODEN = "CQGRDG", DOI = "https://doi.org/10.1088/0264-9381/23/24/023", ISSN = "0264-9381 (print), 1361-6382 (electronic)", ISSN-L = "0264-9381", MRclass = "83C80", MRnumber = "2279734", MRreviewer = "Mikhail Katanaev", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Classical and Quantum Gravity", } @Article{Benedetto:2007:CLU, author = "D. Benedetto and M. Pulvirenti", title = "The classical limit for the {Uehling--Uhlenbeck} operator", journal = "Bull. Inst. Math. Acad. Sin. (N.S.)", volume = "2", number = "4", pages = "907--920", year = "2007", ISSN = "2304-7909", MRclass = "82C10 (82C40)", MRnumber = "2363983", MRreviewer = "Laurent Desvillettes", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Institute of Mathematics. Academia Sinica. New Series", } @Article{Brockwell:2007:ENL, author = "Peter J. Brockwell and Richard A. Davis and Yu Yang", title = "Estimation for Nonnegative {L{\'e}vy}--Driven {Ornstein--Uhlenbeck} Processes", journal = j-J-APPL-PROBAB, volume = "44", number = "4", pages = "977--989", month = dec, year = "2007", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/27595901", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:30 MDT 2014", bibsource = "http://www.jstor.org/stable/i27595888; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/27595901", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Coutin:2007:AFB, author = "Laure Coutin and Monique Pontier", title = "Approximation of the fractional {Brownian} sheet via {Ornstein--Uhlenbeck} sheet", journal = j-ESAIM-PROBAB-STATIST, volume = "11", number = "??", pages = "115--??", month = feb, year = "2007", CODEN = "????", DOI = "https://doi.org/10.1051/ps:2007010", ISSN = "1292-8100 (print), 1262-3318 (electronic)", ISSN-L = "1262-3318", bibdate = "Mon Feb 9 06:54:48 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/esaim-probab-stat.bib", acknowledgement = ack-nhfb, fjournal = "ESAIM: Probability and Statistics", journal-URL = "http://www.esaim-ps.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ditlevsen:2007:RFP, author = "Susanne Ditlevsen", title = "A result on the first-passage time of an {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "77", number = "18", pages = "1744--1749", month = dec, year = "2007", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:17:36 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715207001605", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Escobedo:2007:FSL, author = "M. Escobedo and S. Mischler and J. J. L. V{\'e}lazquez", title = "On the fundamental solution of a linearized {Uehling--Uhlenbeck} equation", journal = j-ARCH-RAT-MECH-ANAL, volume = "186", number = "2", pages = "309--349", year = "2007", CODEN = "AVRMAW", DOI = "https://doi.org/10.1007/s00205-007-0084-2", ISSN = "0003-9527 (print), 1432-0673 (electronic)", ISSN-L = "0003-9527", MRclass = "35F25 (35A08 35A20 42A38 44A10 45K05)", MRnumber = "2342205", MRreviewer = "Rodica Luca", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Archive for Rational Mechanics and Analysis", journal-URL = "http://link.springer.com/journal/205", } @Article{Masiero:2007:RPT, author = "Federica Masiero", title = "Regularizing Properties for Transition Semigroups and Semilinear Parabolic Equations in {Banach} Spaces", journal = j-ELECTRON-J-PROBAB, volume = "12", pages = "13:387--13:419", year = "2007", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v12-401", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/401", abstract = "We study regularizing properties for transition semigroups related to Ornstein--Uhlenbeck processes with values in a Banach space $E$ which is continuously and densely embedded in a real and separable Hilbert space $H$. Namely we study conditions under which the transition semigroup maps continuous and bounded functions into differentiable functions. Via a Girsanov type theorem such properties extend to perturbed Ornstein--Uhlenbeck processes. We apply the results to solve in mild sense semilinear versions of Kolmogorov equations in $E$.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Banach spaces.; Ornstein--Uhlenbeck and perturbed Ornstein--Uhlenbeck transition semigroups; parabolic equations; regularizing properties", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Morrison:2007:SAW, author = "Margaret Morrison", title = "Spin: All is not what it seems", journal = j-STUD-HIST-PHILOS-MOD-PHYS, volume = "38", number = "3", pages = "529--557", month = sep, year = "2007", CODEN = "????", DOI = "https://doi.org/10.1016/j.shpsb.2006.10.003", ISSN = "1355-2198 (print), 1879-2502 (electronic)", ISSN-L = "1355-2198", bibdate = "Thu Nov 3 06:18:28 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/shps-b.bib", URL = "http://www.sciencedirect.com/science/article/pii/S1355219806000931", abstract = "Spin is typically thought to be a fundamental property of the electron and other elementary particles. Although it is defined as an internal angular momentum much of our understanding of it is bound up with the mathematics of group theory. This paper traces the development of the concept of spin paying particular attention to the way that quantum mechanics has influenced its interpretation in both theoretical and experimental contexts. The received view is that electron spin was discovered experimentally by Stern and Gerlach in 1921, 5 years prior to its theoretical formulation by Goudsmit and Uhlenbeck. However, neither Goudsmit nor Uhlenbeck, nor any others involved in the debate about spin cited the Stern--Gerlach experiment as corroborating evidence. In fact, Bohr and Pauli were emphatic that the spin of a single electron could not be measured in classical experiments. In recent years experiments designed to refute the Bohr--Pauli thesis and measure electron spin have been carried out. However, a number of ambiguities surround these results --- ambiguities that relate not only to the measurements themselves but to the interpretation of the experiments. After discussing these various issues I raise some philosophical questions about the ontological and epistemic status of spin. Because it is a curious hybrid of the mathematical and the physical these questions are relatively complex, and while I do not pretend to have answered them here, the goal of the paper is to uncover and isolate how spin presents problems for traditional realism and to illustrate the power that theories like quantum mechanics have for shaping both philosophical questions and answers.", acknowledgement = ack-nhfb, ajournal = "Stud. Hist. Philos. Mod. Phys.", fjournal = "Studies in History and Philosophy of Modern Physics", journal-URL = "http://www.sciencedirect.com/science/journal/13552198", keywords = "Bohr; mathematics; models; realism; spin; Stern--Gerlach", subject-dates = "Samuel Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Patie:2007:TSE, author = "Pierre Patie", title = "Two-sided exit problem for a Spectrally Negative $ \alpha $-Stable {Ornstein--Uhlenbeck} Process and the {Wright}'s generalized hypergeometric functions", journal = j-ELECTRON-COMMUN-PROBAB, volume = "12", pages = "16:146--16:160", year = "2007", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v12-1265", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/1265", abstract = "The Laplace transform of the first exit time from a finite interval by a regular spectrally negative $ \alpha $-stable Ornstein--Uhlenbeck process is provided in terms of the Wright's generalized hypergeometric function. The Laplace transform of first passage times is also derived for some related processes such as the process killed when it enters the negative half line and the process conditioned to stay positive. The law of the maximum of the associated bridges is computed in terms of the $q$-resolvent density. As a byproduct, we deduce some interesting analytical properties for some Wright's generalized hypergeometric functions.", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "stable Ornstein--Uhlenbeck process; Two-sided exit time; Wright's generalized hypergeometric functions", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bishwal:2008:LDT, author = "Jaya P. N. Bishwal", title = "Large deviations in testing fractional {Ornstein--Uhlenbeck} models", journal = j-STAT-PROB-LETT, volume = "78", number = "8", pages = "953--962", day = "1", month = jun, year = "2008", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:17:45 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715207003471", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bishwal:2008:RWC, author = "Jaya P. N. Bishwal", title = "Rates of Weak Convergence of Estimators in the {Ornstein--Uhlenbeck} Process", journal = j-LECT-NOTES-MATH, volume = "1923", pages = "159--200", year = "2008", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/978-3-540-74448-1_8", ISBN = "3-540-74447-9 (print), 3-540-74448-7 (e-book)", ISBN-13 = "978-3-540-74447-4 (print), 978-3-540-74448-1 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", bibdate = "Fri May 9 19:07:09 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm2000.bib", URL = "http://link.springer.com/content/pdf/10.1007/978-3-540-74448-1_8.pdf", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/978-3-540-74448-1", book-URL = "http://www.springerlink.com/content/978-3-540-74448-1", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Borovkov:2008:ETL, author = "Konstantin Borovkov and Alexander Novikov", title = "On exit times of {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "78", number = "12", pages = "1517--1525", day = "1", month = sep, year = "2008", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:17:48 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715208000060", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Carbone:2008:HQO, author = "Raffaella Carbone and Emanuela Sasso", title = "Hypercontractivity for a quantum {Ornstein--Uhlenbeck} semigroup", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "140", number = "3--4", pages = "505--522", month = mar, year = "2008", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/s00440-007-0073-2", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Fri Jun 6 08:19:46 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/s00440-007-0073-2", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Endo:2008:SMG, author = "Kotaro Endo and Muneya Matsui", title = "The stationarity of multidimensional generalized {Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "78", number = "14", pages = "2265--2272", day = "1", month = oct, year = "2008", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:17:50 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S016771520800120X", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Escobedo:2008:SSU, author = "M. Escobedo and S. Mischler and J. J. L. Vel{\'a}zquez", title = "Singular solutions for the {Uehling--Uhlenbeck} equation", journal = j-PROC-R-SOC-EDINB-SECT-A-MATH, volume = "138", number = "1", pages = "67--107", year = "2008", CODEN = "PEAMDU", DOI = "https://doi.org/10.1017/S0308210506000655", ISSN = "0308-2105 (print), 1473-7124 (electronic)", ISSN-L = "0308-2105", MRclass = "35F25", MRnumber = "2388938", MRreviewer = "Beatrice Pelloni", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society of Edinburgh. Section A. Mathematics", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRM", } @Article{Kiessling:2008:LFP, author = "Michael Kiessling and Carlo Lancellotti", title = "The Linear {Fokker--Planck} Equation for the {Ornstein--Uhlenbeck} Process as an (Almost) Nonlinear Kinetic Equation for an Isolated {$N$}-Particle System", journal = j-J-STAT-PHYS, volume = "130", number = "4", pages = "827--827", month = feb, year = "2008", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-007-9447-1", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:09:47 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib", URL = "http://link.springer.com/article/10.1007/s10955-007-9447-1", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kiselak:2008:EOD, author = "Jozef Kisel{\'a}k and Milan Stehl{\'\i}k", title = "Equidistant and {$D$}-optimal designs for parameters of {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "78", number = "12", pages = "1388--1396", day = "1", month = sep, year = "2008", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:17:48 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715207004208", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Liu:2008:SSR, author = "Kai Liu", title = "Stationary solutions of retarded {Ornstein--Uhlenbeck} processes in {Hilbert} spaces", journal = j-STAT-PROB-LETT, volume = "78", number = "13", pages = "1775--1783", day = "15", month = sep, year = "2008", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:17:49 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715208000394", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Taillefumier:2008:HLC, author = "Thibaud Taillefumier and Marcelo O. Magnasco", title = "A {Haar}-like Construction for the {Ornstein} {Uhlenbeck} Process", journal = j-J-STAT-PHYS, volume = "132", number = "2", pages = "397--415", month = jul, year = "2008", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-008-9545-8", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:10:56 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib", URL = "http://link.springer.com/article/10.1007/s10955-008-9545-8", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Cariboni:2009:JIM, author = "Jessica Cariboni and Wim Schoutens", title = "Jumps in intensity models: investigating the performance of {Ornstein--Uhlenbeck} processes in credit risk modeling", journal = j-METRIKA, volume = "69", number = "2--3", pages = "173--198", month = mar, year = "2009", CODEN = "MTRKA8", DOI = "https://doi.org/10.1007/s00184-008-0213-4", ISSN = "0026-1335 (print), 1435-926X (electronic)", ISSN-L = "0026-1335", bibdate = "Mon Feb 2 16:28:32 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/metrika.bib", URL = "http://link.springer.com/article/10.1007/s00184-008-0213-4", acknowledgement = ack-nhfb, fjournal = "Metrika", journal-URL = "http://link.springer.com/journal/184", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Crisan:2009:NFS, author = "Dan Crisan and Michael Kouritzin and Jie Xiong", title = "Nonlinear filtering with signal dependent observation noise", journal = j-ELECTRON-J-PROBAB, volume = "14", pages = "63:1863--63:1883", year = "2009", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v14-687", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/687", abstract = "The paper studies the filtering problem for a non-classical framework: we assume that the observation equation is driven by a signal dependent noise. We show that the support of the conditional distribution of the signal is on the corresponding level set of the derivative of the quadratic variation process. Depending on the intrinsic dimension of the noise, we distinguish two cases: In the first case, the conditional distribution has discrete support and we deduce an explicit representation for the conditional distribution. In the second case, the filtering problem is equivalent to a classical one defined on a manifold and we deduce the evolution equation of the conditional distribution. The results are applied to the filtering problem where the observation noise is an Ornstein--Uhlenbeck process.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Nonlinear Filtering, Ornstein--Uhlenbeck Noise, Signal-", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Dector:2009:ACA, author = "A. D{\'e}ctor and H. A. Morales-T{\'e}cotl and L. F. Urrutia and J. D. Vergara", title = "An alternative canonical approach to the ghost problem in a complexified extension of the {Pais--Uhlenbeck} oscillator", journal = "SIGMA Symmetry Integrability Geom. Methods Appl.", volume = "5", pages = "Paper 053, 22", year = "2009", DOI = "https://doi.org/10.3842/SIGMA.2009.053", ISSN = "1815-0659", MRclass = "81R12 (37J15 70H15)", MRnumber = "2506159", MRreviewer = "Boris I. Zhilinskii", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "SIGMA. Symmetry, Integrability and Geometry. Methods and Applications", } @Article{Fatalov:2009:OTE, author = "V. R. Fatalov", title = "Occupation Time and Exact Asymptotics of Distributions of {$ L^p $}-Functionals of the {Ornstein--Uhlenbeck} Processes, $ p > 0 $", journal = j-THEORY-PROBAB-APPL, volume = "53", number = "1", pages = "13--36", month = "????", year = "2009", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97983407", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 1 10:44:06 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/53/1; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2009", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Gao:2009:DIM, author = "Fuqing Gao and Hui Jiang", title = "Deviation inequalities and moderate deviations for estimators of parameters in an {Ornstein--Uhlenbeck} process with linear drift", journal = j-ELECTRON-COMMUN-PROBAB, volume = "14", pages = "21:210--21:223", year = "2009", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v14-1466", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/1466", abstract = "Some deviation inequalities and moderate deviation principles for the maximum likelihood estimators of parameters in an Ornstein--Uhlenbeck process with linear drift are established by the logarithmic Sobolev inequality and the exponential martingale method.", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "Deviation inequality; logarithmic Sobolev inequality; moderate deviations; Ornstein--Uhlenbeck process", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Gao:2009:MDS, author = "Fuqing Gao and Hui Jiang", title = "Moderate deviations for squared radial {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "79", number = "11", pages = "1378--1386", day = "1", month = jun, year = "2009", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:09 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715209000765", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jegaraj:2009:STA, author = "Terence Jegaraj", title = "Small time asymptotics of {Ornstein--Uhlenbeck} densities in {Hilbert} spaces", journal = j-ELECTRON-COMMUN-PROBAB, volume = "14", pages = "53:552--53:559", year = "2009", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v14-1510", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/1510", abstract = "We show that Varadhan's small time asymptotics for densities of the solution of a stochastic differential equation in $ \mathbb {R}^n $ carries over to a Hilbert space-valued Ornstein--Uhlenbeck process whose transition semigroup is strongly Feller and symmetric. In the Hilbert space setting, densities are with respect to a Gaussian invariant measure.", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "small time asymptotics, densities, Ornstein--Uhlenbeck, Hilbert space", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Lindner:2009:CPI, author = "Alexander Lindner and Ken-iti Sato", title = "Continuity properties and infinite divisibility of stationary distributions of some generalized {Ornstein--Uhlenbeck} processes", journal = j-ANN-PROBAB, volume = "37", number = "1", pages = "250--274", month = jan, year = "2009", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab2000.bib", URL = "http://projecteuclid.org/euclid.aop/1234881690", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Long:2009:LSE, author = "Hongwei Long", title = "Least squares estimator for discretely observed {Ornstein--Uhlenbeck} processes with small {L{\'e}vy} noises", journal = j-STAT-PROB-LETT, volume = "79", number = "19", pages = "2076--2085", day = "1", month = oct, year = "2009", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 22:55:59 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2000.bib", note = "See note \cite{Ma:2010:NLS}.", URL = "http://www.sciencedirect.com/science/article/pii/S0167715209002429", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Luschgy:2009:EGP, author = "Harald Luschgy and Gilles Pag{\`e}s", title = "Expansions for {Gaussian} Processes and {Parseval} Frames", journal = j-ELECTRON-J-PROBAB, volume = "14", pages = "42:1198--42:1221", year = "2009", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v14-649", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/649", abstract = "We derive a precise link between series expansions of Gaussian random vectors in a Banach space and Parseval frames in their reproducing kernel Hilbert space. The results are applied to pathwise continuous Gaussian processes and a new optimal expansion for fractional Ornstein--Uhlenbeck processes is derived.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Gaussian process, series expansion, Parseval frame, optimal expansion, fractional Ornstein--Uhlenbeck process", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Matsui:2009:EFO, author = "Muneya Matsui and Narn-Rueih Shieh", title = "On the Exponentials of Fractional {Ornstein--Uhlenbeck} Processes", journal = j-ELECTRON-J-PROBAB, volume = "14", pages = "23:594--23:611", year = "2009", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v14-628", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/628", abstract = "We study the correlation decay and the expected maximal increment (Burkholder--Davis--Gundy type inequalities) of the exponential process determined by a fractional Ornstein--Uhlenbeck process. The method is to apply integration by parts formula on integral representations of fractional Ornstein--Uhlenbeck processes, and also to use Slepian's inequality. As an application, we attempt Kahane's T-martingale theory based on our exponential process which is shown to be of long memory.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Long memory (Long range dependence), Fractional Brownian motion, Fractional Ornstein--Uhlenbeck process, Exponential process, Burkholder--Davis--Gundy inequalities", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Muller:2009:BRU, author = "Frank M{\"u}ller and Armin Schikorra", title = "Boundary regularity via {Uhlenbeck--Rivi{\`e}re} decomposition", journal = "Analysis (Munich)", volume = "29", number = "2", pages = "199--220", year = "2009", DOI = "https://doi.org/10.1524/anly.2009.1025", ISSN = "0174-4747", MRclass = "35J61 (35B44 35B65 58E12)", MRnumber = "2554638", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Analysis. International Mathematical Journal of Analysis and its Applications", } @Article{Pigorsch:2009:DSD, author = "Christian Pigorsch and Robert Stelzer", title = "On the definition, stationary distribution and second order structure of positive semidefinite {Ornstein--Uhlenbeck} type processes", journal = j-BERNOULLI, volume = "15", number = "3", pages = "754--773", month = aug, year = "2009", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:08:11 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1251463280", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Smilga:2009:CDP, author = "Andrei V. Smilga", title = "Comments on the dynamics of the {Pais--Uhlenbeck} oscillator", journal = "SIGMA Symmetry Integrability Geom. Methods Appl.", volume = "5", pages = "Paper 017, 13", year = "2009", DOI = "https://doi.org/10.3842/SIGMA.2009.017", ISSN = "1815-0659", MRclass = "81Q10 (70H50)", MRnumber = "2481475", MRreviewer = "S. Habib Mazharimousavi", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "SIGMA. Symmetry, Integrability and Geometry. Methods and Applications", } @Article{Taufer:2009:SLD, author = "Emanuele Taufer and Nikolai Leonenko", title = "Simulation of {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes with given marginal distribution", journal = j-COMPUT-STAT-DATA-ANAL, volume = "53", number = "6", pages = "2427--2437", day = "15", month = apr, year = "2009", CODEN = "CSDADW", ISSN = "0167-9473 (print), 1872-7352 (electronic)", ISSN-L = "0167-9473", bibdate = "Fri Feb 6 11:42:43 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computstatdataanal2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167947308001461", acknowledgement = ack-nhfb, fjournal = "Computational Statistics \& Data Analysis", journal-URL = "http://www.sciencedirect.com/science/journal/01679473", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{vanBargen:2009:AGS, author = "Holger van Bargen", title = "Asymptotic Growth of Spatial Derivatives of Isotropic Flows", journal = j-ELECTRON-J-PROBAB, volume = "14", pages = "80:2328--80:2351", year = "2009", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v14-704", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/704", abstract = "It is known from the multiplicative ergodic theorem that the norm of the derivative of certain stochastic flows at a previously fixed point grows exponentially fast in time as the flows evolves. We prove that this is also true if one takes the supremum over a bounded set of initial points. We give an explicit bound for the exponential growth rate which is far different from the lower bound coming from the Multiplicative Ergodic Theorem.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "stochastic flows, isotropic Brownian flows, isotropic Ornstein--Uhlenbeck flows, asymptotic behavior of derivatives", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Xing:2009:SDT, author = "Xiaoyu Xing and Wei Zhang and Yongjin Wang", title = "The Stationary Distributions of Two Classes of Reflected {Ornstein--Uhlenbeck} Processes", journal = j-J-APPL-PROBAB, volume = "46", number = "3", pages = "709--720", month = sep, year = "2009", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/25662456", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:38 MDT 2014", bibsource = "http://www.jstor.org/stable/i25662449; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/25662456", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Zhang:2009:TLT, author = "Shibin Zhang and Xinsheng Zhang", title = "On the Transition Law of Tempered Stable {Ornstein--Uhlenbeck} Processes", journal = j-J-APPL-PROBAB, volume = "46", number = "3", pages = "721--731", month = sep, year = "2009", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/25662457", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:38 MDT 2014", bibsource = "http://www.jstor.org/stable/i25662449; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/25662457", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Diop:2010:MDP, author = "Aliou Diop and Armel Fabrice Yode", title = "Minimum distance parameter estimation for {Ornstein--Uhlenbeck} processes driven by {L{\'e}vy} process", journal = j-STAT-PROB-LETT, volume = "80", number = "2", pages = "122--127", day = "15", month = jan, year = "2010", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:18 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715209003678", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Englander:2010:CMS, author = "Janos Englander", title = "The Center of Mass for Spatial Branching Processes and an Application for Self-Interaction", journal = j-ELECTRON-J-PROBAB, volume = "15", pages = "63:1938--63:1970", year = "2010", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v15-822", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/822", abstract = "Consider the center of mass of a supercritical branching-Brownian motion. In this article we first show that it is a Brownian motion being slowed down such that it tends to a limiting position almost surely, and that this is also true for a model where the branching-Brownian motion is modified by attraction/repulsion between particles. We then put this observation together with the description of the interacting system as viewed from its center of mass, and get the following asymptotic behavior: the system asymptotically becomes a branching Ornstein--Uhlenbeck process (inward for attraction and outward for repulsion), but (i) the origin is shifted to a random point which has normal distribution, and (ii) the Ornstein--Uhlenbeck particles are not independent but constitute a system with a degree of freedom which is less than their number by precisely one. The main result of the article then is a scaling limit theorem for the local mass, in the attractive case. A conjecture is stated for the behavior of the local mass in the repulsive case. We also consider a supercritical super-Brownian motion. Again, it turns out that, conditioned on survival, its center of mass is a continuous process having an a.s. limit.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Branching Brownian motion; branching Ornstein--Uhlenbeck process; center of mass; Curie--Weiss model; H-transform; McKean--Vlasov limit; self-interaction; spatial branching processes; super-Brownian motion", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fasen:2010:ARS, author = "Vicky Fasen", title = "Asymptotic results for sample autocovariance functions and extremes of integrated generalized {Ornstein--Uhlenbeck} processes", journal = j-BERNOULLI, volume = "16", number = "1", pages = "51--79", month = feb, year = "2010", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:08:13 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1265984704", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Giovanni:2010:MDG, author = "Peccati Giovanni and Cengbo Zheng", title = "Multi-Dimensional {Gaussian} Fluctuations on the {Poisson} Space", journal = j-ELECTRON-J-PROBAB, volume = "15", pages = "48:1487--48:1527", year = "2010", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v15-813", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/813", abstract = "We study multi-dimensional normal approximations on the Poisson space by means of Malliavin calculus, Stein's method and probabilistic interpolations. Our results yield new multi-dimensional central limit theorems for multiple integrals with respect to Poisson measures - thus significantly extending previous works by Peccati, Sol{\'e}, Taqqu and Utzet. Several explicit examples (including in particular vectors of linear and non-linear functionals of Ornstein--Uhlenbeck L{\'e}vy processes) are discussed in detail.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "Central Limit Theorems; Malliavin calculus; Multi-dimensional normal approximations; Ornstein--Uhlenbeck processes; Poisson measures; Probabilistic Interpolations; Stein's method", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Griffin:2010:BIS, author = "J. E. Griffin and M. F. J. Steel", title = "{Bayesian} inference with stochastic volatility models using continuous superpositions of non-{Gaussian} {Ornstein--Uhlenbeck} processes", journal = j-COMPUT-STAT-DATA-ANAL, volume = "54", number = "11", pages = "2594--2608", day = "1", month = nov, year = "2010", CODEN = "CSDADW", ISSN = "0167-9473 (print), 1872-7352 (electronic)", ISSN-L = "0167-9473", bibdate = "Fri Feb 6 11:42:51 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computstatdataanal2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167947309002382", acknowledgement = ack-nhfb, fjournal = "Computational Statistics \& Data Analysis", journal-URL = "http://www.sciencedirect.com/science/journal/01679473", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Hu:2010:PEF, author = "Yaozhong Hu and David Nualart", title = "Parameter estimation for fractional {Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "80", number = "11--12", pages = "1030--1038", day = "1--15", month = jun, year = "2010", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:24 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715210000659", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ivezic:2010:GUG, author = "Tomislav Ivezi{\'c}", title = "The generalized {Uhlenbeck--Goudsmit} hypothesis: `magnetic' {$ S^a $} and `electric' {$ Z^a $} spins", journal = j-PHYSICA-SCRIPTA, volume = "81", number = "2", pages = "025001:1--025001:8", month = jan, year = "2010", CODEN = "PHSTBO", DOI = "https://doi.org/10.1088/0031-8949/81/02/025001", ISSN = "0031-8949 (print), 1402-4896 (electronic)", ISSN-L = "0031-8949", bibdate = "Thu Apr 18 14:25:39 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Physica Scripta", journal-URL = "http://iopscience.iop.org/1402-4896/", subject-dates = "Samuel A. Goudsmit (1902--1978); George E. Uhlenbeck (1900--1988)", } @Article{Ma:2010:NLS, author = "Chunhua Ma", title = "A note on {``Least squares estimator for discretely observed Ornstein--Uhlenbeck processes with small {L{\'e}vy} noises''}", journal = j-STAT-PROB-LETT, volume = "80", number = "19--20", pages = "1528--1531", day = "1--15", month = oct, year = "2010", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:30 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", note = "See \cite{Long:2009:LSE}.", URL = "http://www.sciencedirect.com/science/article/pii/S0167715210001677", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Mostafazadeh:2010:HFP, author = "Ali Mostafazadeh", title = "A {Hamiltonian} formulation of the {Pais--Uhlenbeck} oscillator that yields a stable and unitary quantum system", journal = j-PHYS-LET-A, volume = "375", number = "2", pages = "93--98", year = "2010", CODEN = "PYLAAG", DOI = "https://doi.org/10.1016/j.physleta.2010.10.050", ISSN = "0375-9601 (print), 1873-2429 (electronic)", ISSN-L = "0375-9601", MRclass = "81Q80 (81Q12 81Q65)", MRnumber = "2737899", MRreviewer = "M. Znojil", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Physics Letters. A", journal-URL = "http://www.sciencedirect.com/science/journal/03759601", } @Article{Wilkinson:2010:PTS, author = "Michael Wilkinson", title = "Perturbation Theory for a Stochastic Process with {Ornstein--Uhlenbeck} Noise", journal = j-J-STAT-PHYS, volume = "139", number = "2", pages = "345--353", month = apr, year = "2010", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-010-9944-5", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:14:42 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2010.bib", URL = "http://link.springer.com/article/10.1007/s10955-010-9944-5", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bagarello:2011:NPU, author = "F. Bagarello", title = "A note on the {Pais--Uhlenbeck} model and its coherent states", journal = j-INT-J-THEOR-PHYS, volume = "50", number = "10", pages = "3241--3250", year = "2011", CODEN = "IJTPBM", DOI = "https://doi.org/10.1007/s10773-011-0827-6", ISSN = "0020-7748 (print), 1572-9575 (electronic)", ISSN-L = "0020-7748", MRclass = "81R30", MRnumber = "2833207", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Theoretical Physics", journal-URL = "http://link.springer.com/journal/10773", } @Article{Barbu:2011:KEA, author = "Viorel Barbu and Giuseppe {Da Prato} and Luciano Tubaro", title = "{Kolmogorov} equation associated to the stochastic reflection problem on a smooth convex set of a {Hilbert} space {II}", journal = j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST, volume = "47", number = "3", pages = "699--724", month = aug, year = "2011", CODEN = "AHPBAR", DOI = "https://doi.org/10.1214/10-AIHP381", ISSN = "0246-0203 (print), 1778-7017 (electronic)", ISSN-L = "0246-0203", MRclass = "60J60 (47D07 15A63 31C25)", MRnumber = "2841072", bibdate = "Mon Jun 9 05:37:03 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annihpb.bib", URL = "http://projecteuclid.org/euclid.aihp/1308834856; http://www.numdam.org/item?id=AIHPB_2011__47_3_699_0", acknowledgement = ack-nhfb, fjournal = "Annales de l'Institut Henri Poincar{\'e}. Probabilit{\'e}s et Statistiques", journal-URL = "http://projecteuclid.org/all/euclid.aihp/; http://www.numdam.org/numdam-bin/feuilleter?j=AIHPB", keywords = "Infinite-dimensional analysis; Kolmogorov operator; Neumann problem; Ornstein--Uhlenbeck operator; Reflection problem", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Barndorff-Nielsen:2011:MSP, author = "Ole Eiler Barndorff-Nielsen and Robert Stelzer", title = "Multivariate {supOU} processes", journal = j-ANN-APPL-PROBAB, volume = "21", number = "1", pages = "140--182", month = feb, year = "2011", CODEN = "????", ISSN = "1050-5164 (print), 2168-8737 (electronic)", ISSN-L = "1050-5164", bibdate = "Fri Jun 6 11:38:52 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annapplprobab.bib", URL = "http://projecteuclid.org/euclid.aoap/1292598030", acknowledgement = ack-nhfb, fjournal = "Annals of Applied Probability", journal-URL = "http://projecteuclid.org/all/euclid.aoap/; http://www.jstor.org/journals/10505164.html", keywords = "superpositions of Ornstein--Uhlenbeck-type processes (supOU processes)", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Barndorff-Nielsen:2011:QOU, author = "Ole E. Barndorff-Nielsen and Andreas Basse-O'Connor", title = "Quasi {Ornstein--Uhlenbeck} processes", journal = j-BERNOULLI, volume = "17", number = "3", pages = "916--941", month = aug, year = "2011", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:08:19 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1310042850", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bercu:2011:SLD, author = "B. Bercu and L. Coutin and N. Savy", title = "Sharp Large Deviations for the Fractional {Ornstein--Uhlenbeck} Process", journal = j-THEORY-PROBAB-APPL, volume = "55", number = "4", pages = "575--610", month = "????", year = "2011", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97985108", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 1 10:44:37 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/55/4; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", URL = "http://epubs.siam.org/tvp/resource/1/tprbau/v55/i4/p575_s1", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "November 2011", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bo:2011:FPT, author = "Lijun Bo and Yongjin Wang and Xuewei Yang", title = "First Passage Times of (Reflected) {Ornstein--Uhlenbeck} Processes Over Random Jump Boundaries", journal = j-J-APPL-PROBAB, volume = "48", number = "3", pages = "723--732", month = sep, year = "2011", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/23065932", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:47 MDT 2014", bibsource = "http://www.jstor.org/stable/i23065908; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/23065932", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fink:2011:FLD, author = "Holger Fink and Claudia Kl{\"u}ppelberg", title = "Fractional {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes and stochastic differential equations", journal = j-BERNOULLI, volume = "17", number = "1", pages = "484--506", month = feb, year = "2011", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:08:17 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1297173852", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Gasanenko:2011:SDO, author = "V. A. Gasanenko", title = "The small deviation of {Ornstein--Uhlenbeck} process with large trend", journal = "Adv. Appl. Math. Sci.", volume = "10", number = "2", pages = "159--167", year = "2011", ISSN = "0974-6803", MRclass = "60F10 (60J60)", MRnumber = "2858285", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Advances and Applications in Mathematical Sciences", } @Article{Graversen:2011:RUC, author = "Svend-Erik Graversen and Jan Pedersen", title = "Representations of {Urbanik}'s classes and multiparameter {Ornstein--Uhlenbeck} processes", journal = j-ELECTRON-COMMUN-PROBAB, volume = "16", pages = "20:200--20:212", year = "2011", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v16-1621", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/1621", abstract = "A class of integrals with respect to homogeneous L{\'e}vy bases on $ \mathbb {R}^k $ is considered. In the one-dimensional case $ k = 1 $ this class corresponds to the selfdecomposable distributions. Necessary and sufficient conditions for existence as well as some representations of the integrals are given. Generalizing the one-dimensional case it is shown that the class of integrals corresponds to Urbanik's class $ L_{k - 1}(R) $. Finally, multiparameter Ornstein--Uhlenbeck processes are defined and studied.", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "L{\'e}vy bases; multiparameter Ornstein--Uhlenbeck processes; stochastic integrals; Urbanik's classes", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kawai:2011:EDS, author = "Reiichiro Kawai and Hiroki Masuda", title = "Exact discrete sampling of finite variation tempered stable {Ornstein--Uhlenbeck} processes", journal = j-MONTE-CARLO-METHODS-APPL, volume = "17", number = "3", pages = "279--300", month = sep, year = "2011", CODEN = "MCMAC6", DOI = "https://doi.org/10.1515/mcma.2011.012", ISSN = "0929-9629 (print), 1569-3961 (electronic)", ISSN-L = "0929-9629", bibdate = "Wed Feb 29 09:27:54 MST 2012", bibsource = "http://www.degruyter.com/view/j/mcma.2011.17.issue-3/issue-files/mcma.2011.17.issue-3.xml; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/mcma.bib", URL = "http://www.degruyter.com/view/j/mcma.2011.17.issue-3/mcma.2011.012/mcma.2011.012.xml", acknowledgement = ack-nhfb, fjournal = "Monte Carlo Methods and Applications", journal-URL = "http://www.degruyter.com/view/j/mcma", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Knopova:2011:EAD, author = "Victoria Knopova and Alexei Kulik", title = "Exact Asymptotic for Distribution Densities of {L{\'e}vy} Functionals", journal = j-ELECTRON-J-PROBAB, volume = "16", pages = "52:1394--52:1433", year = "2011", CODEN = "????", DOI = "https://doi.org/10.1214/EJP.v16-909", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/909", abstract = "A version of the saddle point method is developed, which allows one to describe exactly the asymptotic behavior of distribution densities of L{\'e}vy driven stochastic integrals with deterministic kernels. Exact asymptotic behavior is established for (a) the transition probability density of a real-valued L{\'e}vy process; (b) the transition probability density and the invariant distribution density of a L{\'e}vy driven Ornstein--Uhlenbeck process; (c) the distribution density of the fractional L{\'e}vy motion.", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", keywords = "L'evy process, L'evy driven Ornstein--Uhlenbeck process, transition distribution density, saddle point method, Laplace method", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Simon:2011:ACM, author = "Thomas Simon", title = "On the absolute continuity of multidimensional {Ornstein--Uhlenbeck} processes", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "151", number = "1--2", pages = "173--190", month = oct, year = "2011", CODEN = "PTRFEU", DOI = "https://doi.org/10.1007/s00440-010-0296-5", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Fri Jun 6 08:20:27 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib", URL = "http://link.springer.com/article/10.1007/s00440-010-0296-5", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", journal-URL = "http://link.springer.com/journal/440", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Thomas:2011:LBF, author = "Peter J. Thomas", title = "A Lower Bound for the First Passage Time Density of the Suprathreshold {Ornstein--Uhlenbeck} Process", journal = j-J-APPL-PROBAB, volume = "48", number = "2", pages = "420--434", month = jun, year = "2011", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/23065894", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:46 MDT 2014", bibsource = "http://www.jstor.org/stable/i23065820; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/23065894", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wang:2011:COU, author = "Feng-Yu Wang", title = "Coupling for {Ornstein--Uhlenbeck} processes with jumps", journal = j-BERNOULLI, volume = "17", number = "4", pages = "1136--1158", month = nov, year = "2011", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:08:20 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1320417499", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wang:2011:HIO, author = "Jian Wang", title = "{Harnack} inequalities for {Ornstein--Uhlenbeck} processes driven by {L{\'e}vy} processes", journal = j-STAT-PROB-LETT, volume = "81", number = "9", pages = "1436--1444", month = sep, year = "2011", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:41 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715211001593", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wilkinson:2011:SOU, author = "Michael Wilkinson and Alain Pumir", title = "Spherical {Ornstein--Uhlenbeck} Processes", journal = j-J-STAT-PHYS, volume = "145", number = "1", pages = "113--142", month = oct, year = "2011", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-011-0332-6", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:18:01 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2010.bib", URL = "http://link.springer.com/article/10.1007/s10955-011-0332-6", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wong:2011:ODB, author = "Hoi Ying Wong and Jing Zhao", title = "Optimal dividends and bankruptcy procedures: Analysis of the {Ornstein--Uhlenbeck} process", journal = j-J-COMPUT-APPL-MATH, volume = "236", number = "2", pages = "150--166", day = "15", month = aug, year = "2011", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", bibdate = "Sat Feb 25 13:24:37 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042711003372", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Zhang:2011:EST, author = "Shibin Zhang", title = "Exact simulation of tempered stable {Ornstein--Uhlenbeck} processes", journal = j-J-STAT-COMPUT-SIMUL, volume = "81", number = "11", pages = "1533--1544", year = "2011", CODEN = "JSCSAJ", DOI = "https://doi.org/10.1080/00949655.2010.494247", ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163", ISSN-L = "0094-9655", bibdate = "Tue Apr 22 09:13:02 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Computation and Simulation", journal-URL = "http://www.tandfonline.com/loi/gscs20", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Balanca:2012:SIO, author = "Paul Balan{\c{c}}a and Erick Herbin", title = "A set-indexed {Ornstein--Uhlenbeck} process", journal = j-ELECTRON-COMMUN-PROBAB, volume = "17", pages = "39:1--39:14", year = "2012", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v17-1903", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/1903", abstract = "The purpose of this article is a set-indexed extension of the well known Ornstein--Uhlenbeck process. The first part is devoted to a stationary definition of the random field and ends up with the proof of a complete characterization by its $ L^2$-continuity, stationarity and set-indexed Markov properties. This specific Markov transition system allows to define a general set-indexed Ornstein--Uhlenbeck (SIOU) process with any initial probability measure. Finally, in the multiparameter case, the SIOU process is proved to admit a natural integral representation.", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "Markov property; multiparameter and set-indexed processes; Ornstein--Uhlenbeck process; stationarity", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Basse-OConnor:2012:SCP, author = "Andreas Basse-O'Connor and Svend-Erik Graversen and Jan Pedersen", title = "Some Classes of Proper Integrals and Generalized {Ornstein--Uhlenbeck} Processes", journal = j-LECT-NOTES-MATH, volume = "2046", pages = "61--74", year = "2012", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/978-3-642-27461-9_3", ISBN = "3-642-27460-9 (print), 3-642-27461-7 (e-book)", ISBN-13 = "978-3-642-27460-2 (print), 978-3-642-27461-9 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "60H05 (60G51)", MRnumber = "2933933", MRreviewer = "Jean-Luc Prigent", bibdate = "Fri May 9 19:07:03 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/lnm2010.bib", URL = "http://link.springer.com/chapter/10.1007/978-3-642-27461-9_3/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/978-3-642-27461-9", book-URL = "http://www.springerlink.com/content/978-3-642-27461-9", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bo:2012:SML, author = "Lijun Bo and Xuewei Yang", title = "Sequential maximum likelihood estimation for reflected generalized {Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "82", number = "7", pages = "1374--1382", month = jul, year = "2012", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:51 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715212001113", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Giorno:2012:ROU, author = "V. Giorno and A. G. Nobile and R. di Cesare", title = "On the reflected {Ornstein--Uhlenbeck} process with catastrophes", journal = j-APPL-MATH-COMP, volume = "218", number = "23", pages = "11570--11582", day = "1", month = aug, year = "2012", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2012.04.086", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Mon Jul 2 16:40:17 MDT 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300312005498", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jiang:2012:BEB, author = "Hui Jiang", title = "{Berry--Esseen} Bounds and the Law of the Iterated Logarithm for Estimators of Parameters in an {Ornstein--Uhlenbeck} Process with Linear Drift", journal = j-J-APPL-PROBAB, volume = "49", number = "4", pages = "978--989", month = dec, year = "2012", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/41713823", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:52 MDT 2014", bibsource = "http://www.jstor.org/stable/i40080498; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/41713823", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Kawai:2012:IVT, author = "Reiichiro Kawai and Hiroki Masuda", title = "Infinite Variation Tempered Stable {Ornstein--Uhlenbeck} Processes with Discrete Observations", journal = j-COMMUN-STAT-SIMUL-COMPUT, volume = "41", number = "1", pages = "125--139", year = "2012", CODEN = "CSSCDB", DOI = "https://doi.org/10.1080/03610918.2011.582561", ISSN = "0361-0918", ISSN-L = "0361-0918", bibdate = "Sat Jan 30 06:33:21 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/communstatsimulcomput2010.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Statistics: Simulation and Computation", journal-URL = "http://www.tandfonline.com/loi/lssp20", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Liu:2012:RPR, author = "Kai Liu", title = "On Regularity Property of Retarded {Ornstein--Uhlenbeck} Processes in {Hilbert} Spaces", journal = j-J-THEOR-PROBAB, volume = "25", number = "2", pages = "565--593", month = jun, year = "2012", CODEN = "JTPREO", DOI = "https://doi.org/10.1007/s10959-011-0374-3", ISSN = "0894-9840 (print), 1572-9230 (electronic)", ISSN-L = "0894-9840", bibdate = "Thu Aug 28 19:06:06 MDT 2014", bibsource = "http://link.springer.com/journal/10959; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0894-9840&volume=25&issue=2; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib", URL = "http://link.springer.com/article/10.1007/s10959-011-0374-3", acknowledgement = ack-nhfb, fjournal = "Journal of Theoretical Probability", journal-URL = "http://link.springer.com/journal/10959", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Raknerud:2012:IIM, author = "Arvid Raknerud and {\O}ivind Skare", title = "Indirect inference methods for stochastic volatility models based on non-{Gaussian Ornstein--Uhlenbeck} processes", journal = j-COMPUT-STAT-DATA-ANAL, volume = "56", number = "11", pages = "3260--3275", month = nov, year = "2012", CODEN = "CSDADW", ISSN = "0167-9473 (print), 1872-7352 (electronic)", ISSN-L = "0167-9473", bibdate = "Fri Feb 6 11:43:20 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/computstatdataanal2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167947311000302", acknowledgement = ack-nhfb, fjournal = "Computational Statistics \& Data Analysis", journal-URL = "http://www.sciencedirect.com/science/journal/01679473", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Shimizu:2012:LAM, author = "Yasutaka Shimizu", title = "Local asymptotic mixed normality for discretely observed non-recurrent {Ornstein--Uhlenbeck} processes", journal = j-ANN-INST-STAT-MATH-TOKYO, volume = "64", number = "1", pages = "193--211", month = feb, year = "2012", CODEN = "AISXAD", DOI = "https://doi.org/10.1007/s10463-010-0307-4", ISSN = "0020-3157 (print), 1572-9052 (electronic)", ISSN-L = "0020-3157", bibdate = "Sat Jan 31 16:59:50 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib", URL = "http://link.springer.com/article/10.1007/s10463-010-0307-4", acknowledgement = ack-nhfb, fjournal = "Annals of the Institute of Statistical Mathematics", journal-URL = "http://link.springer.com/journal/10463", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Szablowski:2012:WOU, author = "P. J. Szab{\l}owski", title = "$q$-Wiener and $ (\alpha, q) $-{Ornstein--Uhlenbeck} Processes. {A} Generalization of Known Processes", journal = j-THEORY-PROBAB-APPL, volume = "56", number = "4", pages = "634--659", month = "????", year = "2012", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97985674", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 1 10:44:48 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/56/4; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2012", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Tong:2012:LTM, author = "Changqing Tong and Zhengyan Lin and Jing Zheng", title = "The local time of the {Markov} processes of {Ornstein--Uhlenbeck} type", journal = j-STAT-PROB-LETT, volume = "82", number = "7", pages = "1229--1234", month = jul, year = "2012", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:51 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715212000752", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Vakeroudis:2012:HTW, author = "S. Vakeroudis", title = "On Hitting Times of the Winding Processes of Planar {Brownian} Motion and of {Ornstein--Uhlenbeck} Processes via {Bougerol}'s identity", journal = j-THEORY-PROBAB-APPL, volume = "56", number = "3", pages = "485--507", month = "????", year = "2012", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97985546", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 1 10:44:45 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/56/3; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2012", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wang:2012:EEL, author = "Jian Wang", title = "On the Exponential Ergodicity of {L{\'e}vy}--Driven {Ornstein--Uhlenbeck} Processes", journal = j-J-APPL-PROBAB, volume = "49", number = "4", pages = "990--1004", month = dec, year = "2012", CODEN = "JPRBAM", DOI = "https://doi.org/10.2307/41713824", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Sat May 3 07:44:52 MDT 2014", bibsource = "http://www.jstor.org/stable/i40080498; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://www.jstor.org/stable/41713824", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Xing:2012:ASA, author = "Fei Xing", title = "Almost sure asymptotic for {Ornstein--Uhlenbeck} processes of {Poisson} potential", journal = j-STAT-PROB-LETT, volume = "82", number = "12", pages = "2091--2102", month = dec, year = "2012", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:55 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715212002842", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Xing:2012:NTD, author = "Xiaoyu Xing and Yongsheng Xing and Xuewei Yang", title = "A note on transition density for the reflected {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "82", number = "3", pages = "586--591", month = mar, year = "2012", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:18:47 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715211003737", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Zhang:2012:EPC, author = "B. Zhang and L. A. Grzelak and C. W. Oosterlee", title = "Efficient pricing of commodity options with early-exercise under the {Ornstein--Uhlenbeck} process", journal = j-APPL-NUM-MATH, volume = "62", number = "2", pages = "91--111", month = feb, year = "2012", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/j.apnum.2011.10.005", ISSN = "0168-9274 (print), 1873-5460 (electronic)", ISSN-L = "0168-9274", bibdate = "Wed Nov 30 06:55:04 MST 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/applnummath.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0168927411001863", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/01689274/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bagchi:2013:CSF, author = "B. Bagchi and A. Ghose Choudhury and Partha Guha", title = "Comments on the structural features of the {Pais--Uhlenbeck} oscillator", journal = "Modern Phys. Lett. A", volume = "28", number = "14", pages = "1375001, 9", year = "2013", DOI = "https://doi.org/10.1142/S0217732313750011", ISSN = "0217-7323 (print), 1793-6632 (electronic)", MRclass = "70H03 (70H50)", MRnumber = "3070391", MRreviewer = "Pedro Daniel Prieto-Mart\'{\i}nez", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Modern Physics Letters A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics", } @Article{Baran:2013:ODP, author = "S{\'a}ndor Baran and Kinga Sikolya and Milan Stehl{\'\i}k", title = "On the optimal designs for the prediction of {Ornstein--Uhlenbeck} sheets", journal = j-STAT-PROB-LETT, volume = "83", number = "6", pages = "1580--1587", month = jun, year = "2013", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:19:02 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S016771521300076X", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Borovkov:2013:OUT, author = "K. Borovkov and G. Decrouez", title = "{Ornstein--Uhlenbeck} Type Processes with Heavy Distribution Tails", journal = j-THEORY-PROBAB-APPL, volume = "57", number = "3", pages = "396--418", month = "????", year = "2013", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97986102", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 1 10:44:57 MDT 2014", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/57/3; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2013", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Dieker:2013:PRP, author = "A. B. Dieker and Xuefeng Gao", title = "Positive recurrence of piecewise {Ornstein--Uhlenbeck} processes and common quadratic {Lyapunov} functions", journal = j-ANN-APPL-PROBAB, volume = "23", number = "4", pages = "1291--1317", month = aug, year = "2013", CODEN = "????", ISSN = "1050-5164 (print), 2168-8737 (electronic)", ISSN-L = "1050-5164", bibdate = "Fri Jun 6 11:39:25 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annapplprobab.bib", URL = "http://projecteuclid.org/euclid.aoap/1371834029", acknowledgement = ack-nhfb, fjournal = "Annals of Applied Probability", journal-URL = "http://projecteuclid.org/all/euclid.aoap/; http://www.jstor.org/journals/10505164.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Es-Sebaiy:2013:BEB, author = "Khalifa Es-Sebaiy", title = "{Berry--Ess{\'e}en} bounds for the least squares estimator for discretely observed fractional {Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "83", number = "10", pages = "2372--2385", month = oct, year = "2013", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:19:06 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715213002447", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Fasen:2013:SEM, author = "Vicky Fasen", title = "Statistical estimation of multivariate {Ornstein--Uhlenbeck} processes and applications to co-integration", journal = j-J-ECONOMETRICS, volume = "172", number = "2", pages = "325--337", month = feb, year = "2013", CODEN = "JECMB6", DOI = "https://doi.org/10.1016/j.jeconom.2012.08.019", ISSN = "0304-4076 (print), 1872-6895 (electronic)", ISSN-L = "0304-4076", bibdate = "Wed Mar 6 14:49:57 MST 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jeconometrics2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0304407612002035", acknowledgement = ack-nhfb, fjournal = "Journal of Econometrics", journal-URL = "http://www.sciencedirect.com/science/journal/03044076", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Gill:2013:SOU, author = "Hardeep Gill", title = "A super {Ornstein--Uhlenbeck} process interacting with its center of mass", journal = j-ANN-PROBAB, volume = "41", number = "2", pages = "989--1029", month = mar, year = "2013", CODEN = "APBYAE", ISSN = "0091-1798 (print), 2168-894X (electronic)", ISSN-L = "0091-1798", bibdate = "Sun Apr 20 10:44:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annprobab2010.bib", URL = "http://projecteuclid.org/euclid.aop/1362750948", acknowledgement = ack-nhfb, fjournal = "Annals of Probability", journal-URL = "http://projecteuclid.org/all/euclid.aop", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ho:2013:ATH, author = "Lam Si Tung Ho and C{\'e}cile An{\'e}", title = "Asymptotic theory with hierarchical autocorrelation: {Ornstein--Uhlenbeck} tree models", journal = j-ANN-STAT, volume = "41", number = "2", pages = "957--981", month = apr, year = "2013", CODEN = "ASTSC7", ISSN = "0090-5364 (print), 2168-8966 (electronic)", ISSN-L = "0090-5364", bibdate = "Wed Jun 4 06:41:27 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annstat2010.bib", URL = "http://projecteuclid.org/euclid.aos/1369836966", acknowledgement = ack-nhfb, fjournal = "Annals of Statistics", journal-URL = "http://projecteuclid.org/all/euclid.aos/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jimenez:2013:LGD, author = "Jose Beltr{\'a}n Jim{\'e}nez and Enea Di Dio and Ruth Durrer", title = "A longitudinal gauge degree of freedom and the {Pais--Uhlenbeck} field", journal = j-J-HIGH-ENERGY-PHYS, number = "4", pages = "030, front matter + 22", year = "2013", CODEN = "JHEPAB", DOI = "https://doi.org/10.1007/JHEP04(2013)030", ISSN = "1126-6708", ISSN-L = "1029-8479", MRclass = "83C30 (81T13)", MRnumber = "3065956", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Journal of High Energy Physics", } @Article{Kawai:2013:LAN, author = "Reiichiro Kawai", title = "Local Asymptotic Normality Property for {Ornstein--Uhlenbeck} Processes with Jumps Under Discrete Sampling", journal = j-J-THEOR-PROBAB, volume = "26", number = "4", pages = "932--967", month = dec, year = "2013", CODEN = "JTPREO", DOI = "https://doi.org/10.1007/s10959-012-0455-y", ISSN = "0894-9840 (print), 1572-9230 (electronic)", ISSN-L = "0894-9840", bibdate = "Thu Aug 28 19:06:40 MDT 2014", bibsource = "http://link.springer.com/journal/10959; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0894-9840&volume=26&issue=4; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib", URL = "http://link.springer.com/article/10.1007/s10959-012-0455-y", acknowledgement = ack-nhfb, fjournal = "Journal of Theoretical Probability", journal-URL = "http://link.springer.com/journal/10959", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Masuda:2013:EEI, author = "Hiroki Masuda and Nakahiro Yoshida", title = "{Edgeworth} expansion for the integrated {L{\'e}vy} driven {Ornstein--Uhlenbeck} process", journal = j-ELECTRON-COMMUN-PROBAB, volume = "18", pages = "94:1--94:10", year = "2013", CODEN = "????", DOI = "https://doi.org/10.1214/ECP.v18-2726", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Mon Sep 1 19:06:47 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "http://ecp.ejpecp.org/article/view/2726", abstract = "We verify the Edgeworth expansion of any order for the integrated ergodic L{\'e}vy driven Ornstein--Uhlenbeck process, applying a Malliavin calculus with truncation over the Wiener-Poisson space. Due to the special structure of the model, each coefficient of the expansion can be given in a closed form.", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", keywords = "Edgeworth expansion; L{\'e}vy driven Ornstein--Uhlenbeck process; mixing property", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Miao:2013:ADO, author = "Daniel Wei-Chung Miao", title = "Analysis of the discrete {Ornstein--Uhlenbeck} process caused by the tick size effect", journal = j-J-APPL-PROBAB, volume = "50", number = "4", pages = "1102--1116", month = dec, year = "2013", CODEN = "JPRBAM", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Tue May 6 07:34:11 MDT 2014", bibsource = "http://projecteuclid.org/euclid.jap/1389370087; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://projecteuclid.org/euclid.jap/1389370102", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html; http://projecteuclid.org/euclid.jap/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Pramanik:2013:SCS, author = "Souvik Pramanik and Subir Ghosh", title = "On the stability of coherent states for {Pais--Uhlenbeck} oscillator", journal = "Modern Phys. Lett. A", volume = "28", number = "12", pages = "1350038, 9", year = "2013", DOI = "https://doi.org/10.1142/S0217732313500387", ISSN = "0217-7323 (print), 1793-6632 (electronic)", MRclass = "81R30", MRnumber = "3047759", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Modern Physics Letters A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics", } @Article{Ribeiro:2013:OUL, author = "Bruno V. Ribeiro and Yves Elskens", title = "{Ornstein--Uhlenbeck} Limit for the Velocity Process of an {$N$}-Particle System Interacting Stochastically", journal = j-J-STAT-PHYS, volume = "153", number = "4", pages = "626--640", month = nov, year = "2013", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-013-0835-4", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 19:23:33 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2010.bib", URL = "http://link.springer.com/article/10.1007/s10955-013-0835-4", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Seaquist:2013:APO, author = "Thomas Seaquist and Andrzej Korzeniowski", title = "The {American} put with an {Ornstein--Uhlenbeck} model under {Markovian} switching", journal = j-COMM-APPL-ANAL, volume = "17", number = "3-4", pages = "379--394", year = "2013", ISSN = "1083-2564", MRclass = "91G20 (60G40 60J70)", MRnumber = "3136132", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Applied Analysis. An International Journal for Theory and Applications", journal-URL = "http://www.dynamicpublishers.com/CAA/caacontent.htm", } @Article{Szablowski:2013:WOU, author = "P. J. Szab{\l}owski", title = "$q$-{Wiener} and {$ (\alpha, q) $-Ornstein--Uhlenbeck} Processes. {A} Generalization of Known Processes", journal = j-THEORY-PROBAB-APPL, volume = "56", number = "4", pages = "634--659", month = "????", year = "2013", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97985674", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Tue Apr 30 11:25:40 MDT 2013", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/56/4; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2012", subject-dates = "George E. Uhlenbeck (1900--1988)", } @InCollection{vanBerkel:2013:UGE, author = "K. van Berkel", booktitle = "Biografisch Woordenboek van {Nederland}", title = "{Uhlenbeck, George Eug{\`e}ne} (1900--1988)", volume = "6", publisher = "Huygens ING", address = "Amsterdam, The Netherlands", pages = "??--??", day = "12", month = nov, year = "2013", bibdate = "Fri Apr 19 06:06:03 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", URL = "http://resources.huygens.knaw.nl/bwn1880-2000/lemmata/bwn6/uhlenbeck", acknowledgement = ack-nhfb, language = "Dutch", } @Article{Zhang:2013:LSE, author = "Shibin Zhang and Xinsheng Zhang", title = "A least squares estimator for discretely observed {Ornstein--Uhlenbeck} processes driven by symmetric $ \alpha $-stable motions", journal = j-ANN-INST-STAT-MATH-TOKYO, volume = "65", number = "1", pages = "89--103", month = feb, year = "2013", CODEN = "AISXAD", DOI = "https://doi.org/10.1007/s10463-012-0362-0", ISSN = "0020-3157 (print), 1572-9052 (electronic)", ISSN-L = "0020-3157", bibdate = "Sat Jan 31 16:59:46 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib", URL = "http://link.springer.com/article/10.1007/s10463-012-0362-0", acknowledgement = ack-nhfb, fjournal = "Annals of the Institute of Statistical Mathematics", journal-URL = "http://link.springer.com/journal/10463", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Adamczak:2014:SOU, author = "Radoslaw Adamczak and Piotr Milo{\'s}", title = "{$U$}-Statistics of {Ornstein--Uhlenbeck} Branching Particle System", journal = j-J-THEOR-PROBAB, volume = "27", number = "4", pages = "1071--1111", month = dec, year = "2014", CODEN = "JTPREO", DOI = "https://doi.org/10.1007/s10959-013-0503-2", ISSN = "0894-9840 (print), 1572-9230 (electronic)", ISSN-L = "0894-9840", bibdate = "Tue Feb 10 09:38:16 MST 2015", bibsource = "http://link.springer.com/journal/10959; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0894-9840&volume=27&issue=4; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib", URL = "http://link.springer.com/content/pdf/10.1007/s10959-013-0503-2.pdf", acknowledgement = ack-nhfb, fjournal = "Journal of Theoretical Probability", journal-URL = "http://link.springer.com/journal/10959", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Andrzejewski:2014:CNHa, author = "Krzysztof Andrzejewski", title = "Conformal {Newton--Hooke} algebras, {Niederer}'s transformation and {Pais--Uhlenbeck} oscillator", journal = j-PHYS-LET-B, volume = "738", pages = "405--411", year = "2014", CODEN = "PYLBAJ", DOI = "https://doi.org/10.1016/j.physletb.2014.10.008", ISSN = "0370-2693 (print), 1873-2445 (electronic)", ISSN-L = "0370-2693", MRclass = "81T40", MRnumber = "3272502", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology", journal-URL = "http://www.sciencedirect.com/science/journal/03702693", } @Article{Andrzejewski:2014:CNHb, author = "K. Andrzejewski and A. Galajinsky and J. Gonera and I. Masterov", title = "Conformal {Newton--Hooke} symmetry of {Pais--Uhlenbeck} oscillator", journal = j-NUCL-PHYS-B, volume = "885", pages = "150--162", year = "2014", CODEN = "NUPBBO", DOI = "https://doi.org/10.1016/j.nuclphysb.2014.05.025", ISSN = "0550-3213 (print), 1873-1562 (electronic)", ISSN-L = "0550-3213", MRclass = "37P05 (58J70 58J72)", MRnumber = "3228020", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems", journal-URL = "http://www.sciencedirect.com/science/journal/05503213", } @Article{Andrzejewski:2014:HFS, author = "Krzysztof Andrzejewski", title = "{Hamiltonian} formalisms and symmetries of the {Pais--Uhlenbeck} oscillator", journal = j-NUCL-PHYS-B, volume = "889", pages = "333--350", year = "2014", CODEN = "NUPBBO", DOI = "https://doi.org/10.1016/j.nuclphysb.2014.10.024", ISSN = "0550-3213 (print), 1873-1562 (electronic)", ISSN-L = "0550-3213", MRclass = "70S05 (37J05 81R12)", MRnumber = "3280372", MRreviewer = "Gabriel Weber", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems", journal-URL = "http://www.sciencedirect.com/science/journal/05503213", } @Article{Bercu:2014:OUD, author = "Bernard Bercu and Fr{\'e}d{\'e}ric Pro{\"\i}a and Nicolas Savy", title = "On {Ornstein--Uhlenbeck} driven by {Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "85", number = "??", pages = "36--44", month = feb, year = "2014", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:19:10 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715213003635", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Blaschke:2014:GBU, author = "D. Blaschke and M. Buballa and A. Dubinin and G. R{\"o}pke and D. Zablocki", title = "Generalized {Beth--Uhlenbeck} approach to mesons and diquarks in hot, dense quark matter", journal = j-ANN-PHYS, volume = "348", pages = "228--255", year = "2014", CODEN = "APNYA6", DOI = "https://doi.org/10.1016/j.aop.2014.06.002", ISSN = "0003-4916 (print), 1096-035x (electronic)", ISSN-L = "0003-4916", MRclass = "81V35", MRnumber = "3240041", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Annals of Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00034916", } @Article{Hintze:2014:SNA, author = "Robert Hintze and Ilya Pavlyukevich", title = "Small noise asymptotics and first passage times of integrated {Ornstein--Uhlenbeck} processes driven by $ \alpha $-stable {L{\'e}vy} processes", journal = j-BERNOULLI, volume = "20", number = "1", pages = "265--281", month = feb, year = "2014", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:08:31 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1390407289", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jhwueng:2014:POU, author = "Dwueng-Chwuan Jhwueng and Vasileios Maroulas", title = "Phylogenetic {Ornstein--Uhlenbeck} regression curves", journal = j-STAT-PROB-LETT, volume = "89", number = "??", pages = "110--117", month = jun, year = "2014", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jun 1 11:19:13 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715214000881", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Mai:2014:EML, author = "Hilmar Mai", title = "Efficient maximum likelihood estimation for {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes", journal = j-BERNOULLI, volume = "20", number = "2", pages = "919--957", month = may, year = "2014", CODEN = "????", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", bibdate = "Thu Nov 17 18:08:32 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/bernoulli.bib", URL = "http://projecteuclid.org/euclid.bj/1393594010", acknowledgement = ack-nhfb, fjournal = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability", journal-URL = "http://projecteuclid.org/all/euclid.bj; http://www.jstor.org/journal/bernoulli", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Schroder:2014:CCV, author = "Michael Schr{\"o}der", title = "On contingent-claim valuation in continuous-time for volatility models of {Ornstein--Uhlenbeck} type", journal = j-J-COMPUT-APPL-MATH, volume = "260", number = "??", pages = "36--53", month = apr, year = "2014", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", bibdate = "Sat Feb 25 13:34:42 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042713004937", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Abdelrazeq:2015:MVL, author = "Ibrahim Abdelrazeq", title = "Model verification for {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes with estimated parameters", journal = j-STAT-PROB-LETT, volume = "104", number = "??", pages = "26--35", month = sep, year = "2015", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Fri Aug 7 15:44:37 MDT 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715215001248", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Adamczak:2015:COU, author = "Rados{\l}aw Adamczak and Piotr Mi{\l}o{\'s}", title = "{CLT} for {Ornstein--Uhlenbeck} branching particle system", journal = j-ELECTRON-J-PROBAB, volume = "20", number = "??", pages = "42:1--42:35", month = "????", year = "2015", CODEN = "????", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Fri Aug 7 10:50:36 MDT 2015", bibsource = "http://ejp.ejpecp.org/index.php/ejp/; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/4233", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Andrzejewski:2015:GNT, author = "Krzysztof Andrzejewski", title = "Generalized {Niederer}'s transformation for quantum {Pais--Uhlenbeck} oscillator", journal = j-NUCL-PHYS-B, volume = "901", pages = "216--228", year = "2015", CODEN = "NUPBBO", DOI = "https://doi.org/10.1016/j.nuclphysb.2015.10.012", ISSN = "0550-3213 (print), 1873-1562 (electronic)", ISSN-L = "0550-3213", MRclass = "81Q80 (53D22 81Q05 81V35)", MRnumber = "3426531", MRreviewer = "\={E}. S. Kryachko", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems", journal-URL = "http://www.sciencedirect.com/science/journal/05503213", } @Article{Applebaum:2015:IDO, author = "David Applebaum", title = "Infinite dimensional {Ornstein--Uhlenbeck} processes driven by {L{\'e}vy} processes", journal = j-PROBAB-SURV, volume = "12", number = "??", pages = "33--54", month = "????", year = "2015", CODEN = "????", ISSN = "1549-5787", ISSN-L = "1549-5787", bibdate = "Thu Sep 24 11:42:23 MDT 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/probabsurv.bib", URL = "http://projecteuclid.org/euclid.ps/1440075825", acknowledgement = ack-nhfb, fjournal = "Probability Surveys", journal-URL = "http://projecteuclid.org/all/euclid.ps", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Azmoodeh:2015:DPE, author = "Ehsan Azmoodeh and Jos{\'e} Igor Morlanes", title = "Drift parameter estimation for fractional {Ornstein--Uhlenbeck} process of the second kind", journal = j-STATISTICS, volume = "49", number = "1", pages = "1--18", year = "2015", CODEN = "MOSSD5", DOI = "https://doi.org/10.1080/02331888.2013.863888", ISSN = "0233-1888 (print), 1029-4910 (electronic)", ISSN-L = "0233-1888", bibdate = "Wed Feb 11 18:41:35 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statistics.bib", acknowledgement = ack-nhfb, fjournal = "Statistics: A Journal of Theoretical and Applied Statistics", journal-URL = "http://www.tandfonline.com/loi/gsta20", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Baran:2015:ODP, author = "S. Baran and M. Stehl{\'\i}k", title = "Optimal designs for parameters of shifted {Ornstein--Uhlenbeck} sheets measured on monotonic sets", journal = j-STAT-PROB-LETT, volume = "99", number = "??", pages = "114--124", month = apr, year = "2015", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Wed Feb 11 18:02:35 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715215000127", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Baur:2015:FPI, author = "Erich Baur and Jean Bertoin", title = "The fragmentation process of an infinite recursive tree and {Ornstein--Uhlenbeck} type processes", journal = j-ELECTRON-J-PROBAB, volume = "20", number = "??", pages = "98:1--98:20", month = "????", year = "2015", CODEN = "????", ISSN = "1083-6489", ISSN-L = "1083-6489", bibdate = "Thu Sep 24 12:07:31 MDT 2015", bibsource = "http://ejp.ejpecp.org/index.php/ejp/; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ejp.bib", URL = "http://ejp.ejpecp.org/article/view/3866", acknowledgement = ack-nhfb, ajournal = "Electron. J. Probab.", fjournal = "Electronic Journal of Probability", journal-URL = "http://ejp.ejpecp.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bercu:2015:LDO, author = "Bernard Bercu and Adrien Richou", title = "Large deviations for the {Ornstein--Uhlenbeck} process with shift", journal = j-ADV-APPL-PROB, volume = "47", number = "3", pages = "880--901", month = sep, year = "2015", CODEN = "AAPBBD", ISSN = "0001-8678 (print), 1475-6064 (electronic)", ISSN-L = "0001-8678", bibdate = "Sun Jan 10 09:47:27 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/advapplprob.bib", URL = "http://projecteuclid.org/euclid.aap/1444308886", acknowledgement = ack-nhfb, ajournal = "Adv. in Appl. Probab.", fjournal = "Advances in Applied Probability", journal-URL = "http://www.jstor.org/journals/00018678.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Berra-Montiel:2015:DQP, author = "Jasel Berra-Montiel and Alberto Molgado and Efra{\'{}\i}n Rojas", title = "Deformation quantization of the {Pais--Uhlenbeck} fourth order oscillator", journal = j-ANN-PHYS, volume = "362", pages = "298--310", year = "2015", CODEN = "APNYA6", DOI = "https://doi.org/10.1016/j.aop.2015.07.030", ISSN = "0003-4916 (print), 1096-035x (electronic)", ISSN-L = "0003-4916", MRclass = "81S30 (46L65 53D55 70H50)", MRnumber = "3411625", MRreviewer = "Adalto R. Gomes", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Annals of Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00034916", } @Article{Budhiraja:2015:ACM, author = "Amarjit Budhiraja and Vladas Pipiras and Xiaoming Song", title = "Admission control for multidimensional workload input with heavy tails and fractional {Ornstein--Uhlenbeck} process", journal = j-ADV-APPL-PROB, volume = "47", number = "2", pages = "476--505", month = jun, year = "2015", CODEN = "AAPBBD", ISSN = "0001-8678 (print), 1475-6064 (electronic)", ISSN-L = "0001-8678", bibdate = "Fri Aug 7 15:29:12 MDT 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/advapplprob.bib", URL = "http://projecteuclid.org/euclid.aap/1435236984", acknowledgement = ack-nhfb, ajournal = "Adv. in Appl. Probab.", fjournal = "Advances in Applied Probability", journal-URL = "http://www.jstor.org/journals/00018678.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Buonocore:2015:ROU, author = "A. Buonocore and L. Caputo and A. G. Nobile and E. Pirozzi", title = "Restricted {Ornstein--Uhlenbeck} process and applications in neuronal models with periodic input signals", journal = j-J-COMPUT-APPL-MATH, volume = "285", number = "??", pages = "59--71", month = sep, year = "2015", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", bibdate = "Sat Feb 25 13:34:51 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042715000643", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Jiang:2015:PEN, author = "Hui Jiang and Xing Dong", title = "Parameter estimation for the non-stationary {Ornstein--Uhlenbeck} process with linear drift", journal = j-STAT-PAPERS, volume = "56", number = "1", pages = "257--268", month = feb, year = "2015", CODEN = "STPAE4", DOI = "https://doi.org/10.1007/s00362-014-0580-z", ISSN = "0932-5026 (print), 1613-9798 (electronic)", ISSN-L = "0932-5026", bibdate = "Sun Feb 1 10:12:43 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statpapers.bib", URL = "http://link.springer.com/article/10.1007/s00362-014-0580-z", acknowledgement = ack-nhfb, fjournal = "Statistical Papers", journal-URL = "http://link.springer.com/journal/362", subject-dates = "George E. Uhlenbeck (1900--1988)", } @InCollection{Kaparulin:2015:ESP, author = "D. S. Kaparulin and S. L. Lyakhovich", booktitle = "Geometric methods in physics", title = "Energy and stability of the {Pais--Uhlenbeck} oscillator", publisher = "Birkh{\"a}user\slash Springer", address = "Cham, Switzerland", pages = "127--134", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-18212-4_8", MRclass = "70H14 (70H50)", MRnumber = "3629668", MRreviewer = "R\u{a}zvan Micu Tudoran", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Trends Math.", acknowledgement = ack-nhfb, } @Article{Masterov:2015:SPU, author = "Ivan Masterov", title = "{$ {\cal N} = 2 $} supersymmetric {Pais--Uhlenbeck} oscillator", journal = "Modern Phys. Lett. A", volume = "30", number = "21", pages = "1550107, 12", year = "2015", DOI = "https://doi.org/10.1142/S0217732315501072", ISSN = "0217-7323 (print), 1793-6632 (electronic)", MRclass = "81Q10", MRnumber = "3357760", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Modern Physics Letters A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics", } @Article{Pulgar:2015:HOL, author = "Gustavo Pulgar and Joel Saavedra and Genly Leon and Yoelsy Leyva", title = "Higher order {Lagrangians} inspired by the {Pais--Uhlenbeck} oscillator and their cosmological applications", journal = "Journal of Cosmology and Astroparticle Physics", number = "5", pages = "046, front matter + 28", year = "2015", DOI = "https://doi.org/10.1088/1475-7516/2015/05/046", ISSN = "1475-7516", MRclass = "83F05", MRnumber = "3355172", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, ajournal = "J. Cosmol. Astropart. Phys.", fjournal = "Journal of Cosmology and Astroparticle Physics", } @Article{Song:2015:FHT, author = "Shiyu Song and Suxin Wang and Yongjin Wang", title = "First hitting times for doubly skewed {Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "96", number = "??", pages = "212--222", month = jan, year = "2015", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Wed Feb 11 18:02:30 MST 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S016771521400340X", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Sun:2015:IPF, author = "Xiaoxia Sun and Feng Guo", title = "On integration by parts formula and characterization of fractional {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "107", pages = "170--177", month = dec, year = "2015", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Sun Jan 10 16:30:41 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715215003144", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Veestraeten:2015:RFM, author = "Dirk Veestraeten", title = "A recursion formula for the moments of the first passage time of the {Ornstein--Uhlenbeck} process", journal = j-J-APPL-PROBAB, volume = "52", number = "2", pages = "595--601", month = jun, year = "2015", CODEN = "JPRBAM", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Fri Aug 7 12:23:39 MDT 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://projecteuclid.org/euclid.jap/1437658618", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wang:2015:AEP, author = "Ran Wang and Lihu Xu", title = "Asymptotics of the Entropy Production Rate for $d$-Dimensional {Ornstein--Uhlenbeck} Processes", journal = j-J-STAT-PHYS, volume = "160", number = "5", pages = "1336--1353", month = sep, year = "2015", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-015-1295-9", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Fri Aug 7 06:51:20 MDT 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2010.bib", URL = "http://link.springer.com/article/10.1007/s10955-015-1295-9", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wang:2015:EPO, author = "Yinfeng Wang and Yanlin Tang and Xinsheng Zhang", title = "Estimation of Parameters of the {Ornstein--Uhlenbeck} Type Processes with Continuum of Moment Conditions", journal = j-COMMUN-STAT-THEORY-METH, volume = "44", number = "24", pages = "5189--5203", year = "2015", CODEN = "CSTMDC", DOI = "https://doi.org/10.1080/03610926.2013.804570", ISSN = "0361-0926 (print), 1532-415X (electronic)", ISSN-L = "0361-0926", bibdate = "Wed Jan 27 05:45:39 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/communstattheorymeth2010.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Statistics: Theory and Methods", journal-URL = "http://www.tandfonline.com/loi/lsta20", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wang:2015:SOU, author = "Suxin Wang and Shiyu Song and Yongjin Wang", title = "Skew {Ornstein--Uhlenbeck} processes and their financial applications", journal = j-J-COMPUT-APPL-MATH, volume = "273", number = "??", pages = "363--382", day = "1", month = jan, year = "2015", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", bibdate = "Sat Feb 25 13:34:46 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042714003045", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ai:2016:NKL, author = "Xiaohui Ai", title = "A note on {Karhunen--Lo{\`e}ve} expansions for the demeaned stationary {Ornstein--Uhlenbeck} process", journal = j-STAT-PROB-LETT, volume = "117", number = "??", pages = "113--117", month = oct, year = "2016", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Fri Sep 23 10:16:21 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715215300419", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Alvarez-Liebana:2016:CPF, author = "Javier {\'A}lvarez-Li{\'e}bana and Denis Bosq and Mar{\'\i}a D. Ruiz-Medina", title = "Consistency of the plug-in functional predictor of the {Ornstein--Uhlenbeck} process in {Hilbert} and {Banach} spaces", journal = j-STAT-PROB-LETT, volume = "117", number = "??", pages = "12--22", month = oct, year = "2016", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Fri Sep 23 10:16:21 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S016771521630044X", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Dion:2016:NEM, author = "Charlotte Dion", title = "Nonparametric estimation in a mixed-effect {Ornstein--Uhlenbeck} model", journal = j-METRIKA, volume = "79", number = "8", pages = "919--951", month = nov, year = "2016", CODEN = "MTRKA8", DOI = "https://doi.org/10.1007/s00184-016-0583-y", ISSN = "0026-1335 (print), 1435-926X (electronic)", ISSN-L = "0026-1335", bibdate = "Tue Oct 25 09:46:18 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/metrika.bib", URL = "http://link.springer.com/accesspage/article/10.1007/s00184-016-0583-y", acknowledgement = ack-nhfb, fjournal = "Metrika", journal-URL = "http://link.springer.com/journal/184", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Grahovac:2016:ISO, author = "Danijel Grahovac and Nikolai N. Leonenko and Alla Sikorskii and Irena Tesnjak", title = "Intermittency of Superpositions of {Ornstein--Uhlenbeck} Type Processes", journal = j-J-STAT-PHYS, volume = "165", number = "2", pages = "390--408", month = oct, year = "2016", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/s10955-016-1616-7", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Sat Nov 5 15:24:55 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatphys2010.bib", URL = "http://link.springer.com/article/10.1007/s10955-016-1616-7", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Hopfner:2016:ESH, author = "R. H{\"o}pfner and E. L{\"o}cherbach and M. Thieullen", title = "Ergodicity for a stochastic {Hodgkin--Huxley} model driven by {Ornstein--Uhlenbeck} type input", journal = j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST, volume = "52", number = "1", pages = "483--501", month = feb, year = "2016", CODEN = "AHPBAR", ISSN = "0246-0203 (print), 1778-7017 (electronic)", ISSN-L = "0246-0203", bibdate = "Sun Jan 10 08:03:27 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/annihpb.bib", URL = "http://projecteuclid.org/euclid.aihp/1452089277", acknowledgement = ack-nhfb, fjournal = "Annales de l'Institut Henri Poincar{\'e}. Section B, Probabilit{\'e}s et statistiques", journal-URL = "http://projecteuclid.org/all/euclid.aihp/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Huang:2016:MMO, author = "G. Huang and H. M. Jansen and M. Mandjes and P. Spreij and K. {De Turck}", title = "{Markov}-modulated {Ornstein--Uhlenbeck} processes", journal = j-ADV-APPL-PROB, volume = "48", number = "1", pages = "235--254", month = mar, year = "2016", CODEN = "AAPBBD", ISSN = "0001-8678 (print), 1475-6064 (electronic)", ISSN-L = "0001-8678", bibdate = "Mon Jun 20 09:41:04 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/advapplprob.bib", URL = "http://projecteuclid.org/euclid.aap/1457466164", acknowledgement = ack-nhfb, ajournal = "Adv. in Appl. Probab.", fjournal = "Advances in Applied Probability", journal-URL = "http://www.jstor.org/journals/00018678.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Krivonos:2016:MRC, author = "Sergey Krivonos and Olaf Lechtenfeld and Alexander Sorin", title = "Minimal realization of $ \ell $-conformal {Galilei} algebra, {Pais--Uhlenbeck} oscillators and their deformation", journal = j-J-HIGH-ENERGY-PHYS, number = "10", pages = "078, front matter+16", year = "2016", CODEN = "JHEPAB", DOI = "https://doi.org/10.1007/JHEP10(2016)078", ISSN = "1126-6708", ISSN-L = "1029-8479", MRclass = "83C80 (17B81 70G65 70H50 81T40)", MRnumber = "3577547", MRreviewer = "Alberto Molgado", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Journal of High Energy Physics", } @InCollection{Kuwabara:2016:TDP, author = "Hirosuke Kuwabara and Tsukasa Yumibayashi and Hiromitsu Harada", booktitle = "Geometric methods in physics", title = "Time-dependent {Pais--Uhlenbeck} oscillator and its decomposition", publisher = "Birkh{\"a}user\slash Springer", address = "Cham, Switzerland", pages = "255--260", year = "2016", DOI = "https://doi.org/10.1007/978-3-319-31756-4_20", MRclass = "34C15 (70H15 70H50)", MRnumber = "3706243", MRreviewer = "Alberto Molgado", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Trends Math.", acknowledgement = ack-nhfb, } @Article{Larsen:2016:GUB, author = "Sigurd Yves Larsen and Monique Lassaut and Alejandro Amaya-Tapia", title = "A generalized {Uhlenbeck} and {Beth} formula for the third cluster coefficient", journal = j-ANN-PHYS, volume = "374", pages = "291--313", year = "2016", CODEN = "APNYA6", DOI = "https://doi.org/10.1016/j.aop.2016.08.011", ISSN = "0003-4916 (print), 1096-035x (electronic)", ISSN-L = "0003-4916", MRclass = "82B05", MRnumber = "3562974", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Annals of Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00034916", } @Article{Liu:2016:TRG, author = "Yong Liu and Jianliang Zhai", title = "Time Regularity of Generalized {Ornstein--Uhlenbeck} Processes with {L{\'e}vy} Noises in {Hilbert} Spaces", journal = j-J-THEOR-PROBAB, volume = "29", number = "3", pages = "843--866", month = sep, year = "2016", CODEN = "JTPREO", DOI = "https://doi.org/10.1007/s10959-015-0594-z", ISSN = "0894-9840 (print), 1572-9230 (electronic)", ISSN-L = "0894-9840", bibdate = "Tue Sep 20 08:58:52 MDT 2016", bibsource = "http://link.springer.com/journal/10959; http://link.springer.com/journal/10959/29/3; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib", URL = "http://link.springer.com/article/10.1007/s10959-015-0594-z", acknowledgement = ack-nhfb, fjournal = "Journal of Theoretical Probability", journal-URL = "http://link.springer.com/journal/10959", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Masterov:2016:AHF, author = "Ivan Masterov", title = "An alternative {Hamiltonian} formulation for the {Pais--Uhlenbeck} oscillator", journal = j-NUCL-PHYS-B, volume = "902", pages = "95--114", year = "2016", CODEN = "NUPBBO", DOI = "https://doi.org/10.1016/j.nuclphysb.2015.11.011", ISSN = "0550-3213 (print), 1873-1562 (electronic)", ISSN-L = "0550-3213", MRclass = "81Q12", MRnumber = "3433525", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems", journal-URL = "http://www.sciencedirect.com/science/journal/05503213", } @Article{Masterov:2016:OOP, author = "Ivan Masterov", title = "The odd-order {Pais--Uhlenbeck} oscillator", journal = j-NUCL-PHYS-B, volume = "907", pages = "495--508", year = "2016", CODEN = "NUPBBO", DOI = "https://doi.org/10.1016/j.nuclphysb.2016.04.025", ISSN = "0550-3213 (print), 1873-1562 (electronic)", ISSN-L = "0550-3213", MRclass = "81Q80", MRnumber = "3498441", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems", journal-URL = "http://www.sciencedirect.com/science/journal/05503213", } @Article{Masterov:2016:SOO, author = "Ivan Masterov", title = "{$ {\cal N} = 2 $} supersymmetric odd-order {Pais--Uhlenbeck} oscillator", journal = j-NUCL-PHYS-B, volume = "910", pages = "40--54", year = "2016", CODEN = "NUPBBO", DOI = "https://doi.org/10.1016/j.nuclphysb.2016.06.030", ISSN = "0550-3213 (print), 1873-1562 (electronic)", ISSN-L = "0550-3213", MRclass = "81T60", MRnumber = "3535813", MRreviewer = "Matej Pav\v{s}i\v{c}", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems", journal-URL = "http://www.sciencedirect.com/science/journal/05503213", } @Article{Pavsic:2016:PUO, author = "Matej Pav{\v{s}}i{\v{c}}", title = "Pais-{Uhlenbeck} oscillator and negative energies", journal = "Int. J. Geom. Methods Mod. Phys.", volume = "13", number = "9", pages = "1630015, 35", year = "2016", DOI = "https://doi.org/10.1142/S0219887816300154", ISSN = "0219-8878", MRclass = "81Q80 (70H50 83C45)", MRnumber = "3549123", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Geometric Methods in Modern Physics", } @Book{vanCalmthout:2016:SGJ, author = "Martijn van Calmthout", title = "{Sam Goudsmit}: de jacht op de atoombom van {Hitler}", publisher = "Meulenhoff", address = "Amsterdam, The Netherlands", pages = "284 + 16", year = "2016", ISBN = "90-290-8958-X (paperback), 94-023-0744-3 (e-book)", ISBN-13 = "978-90-290-8958-6 (paperback), 978-94-023-0744-3 (e-book)", LCCN = "DS135.N6 G656 2016", bibdate = "Sat Apr 13 16:21:13 MDT 2019", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib", abstract = "Aan het einde van de Tweede Wereldoorlog maakten de Amerikaans-Nederlandse natuurkundige Sam Goudsmit en zijn team in het kielzog van de geallieerden jacht op Hitlers atoombom. De Amerikanen waren ervan overtuigd dat de nazi's aan een atoombom werkten en daarmee alsnog de oorlog zouden winnen. Goudsmits speurtocht leidde hem langs Duitse laboratoria en archieven, en hij sprak met wetenschappers die hij nog van voor de oorlog kende. Door zijn gesprekken met oud-collega?s hoorde hij als een van de eersten hoe het leven was geweest onder Hitlers regime. Zijn zoektocht door Europa bracht hem ook naar zijn ouderlijk huis in Den Haag. Het was verlaten en ontmanteld. Zijn Joodse ouders hadden de oorlog niet overleefd. [At the end of the Second World War, the American--Dutch physicist Sam Goudsmit and his team chased in the wake of the Allies Hitler's atomic bomb. The Americans were convinced that the Nazis were working on an atomic bomb and with that could still win the war. Goudsmit's quest led him through German laboratories and archives, and he spoke to scientists that he knew before the war. Through his conversations with former colleagues, he was one of the first to hear what life was like been under Hitler's regime. Continuing his search in Europe also brought him to his parental home in The Hague. It was abandoned and dismantled. His Jewish parents had not survived the war.]", abstract-2 = "Biografie van de Nederlandse fysicus (1902-1978), die aan het eind van de Tweede Wereldoorlog in Duitsland jacht maakte op zijn collega's die werkten aan Hitlers atoombom.", acknowledgement = ack-nhfb, author-dates = "1961--", subject = "Goudsmit, Samuel A. (Samuel Abraham)", subject-dates = "Samuel A. Goudsmit (1902--1978)", } @Article{Vrins:2016:CFT, author = "Fr{\'e}d{\'e}ric Vrins", title = "Characteristic function of time-inhomogeneous {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "116", number = "??", pages = "55--61", month = sep, year = "2016", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Thu Jun 9 13:59:05 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715215303849", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Wang:2016:LJO, author = "Yizao Wang", title = "Large jumps of $q$-{Ornstein--Uhlenbeck} processes", journal = j-STAT-PROB-LETT, volume = "118", number = "??", pages = "110--116", month = nov, year = "2016", CODEN = "SPLTDC", DOI = "https://doi.org/10.1016/j.spl.2016.06.025", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Fri Sep 23 10:16:21 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715216301067", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Zang:2016:GLB, author = "Qing-Pei Zang and Li-Xin Zhang", title = "A general lower bound of parameter estimation for reflected {Ornstein--Uhlenbeck} processes", journal = j-J-APPL-PROBAB, volume = "53", number = "1", pages = "22--32", month = mar, year = "2016", CODEN = "JPRBAM", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", bibdate = "Mon Jun 20 09:34:38 MDT 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/japplprobab.bib", URL = "http://projecteuclid.org/euclid.jap/1457470555", acknowledgement = ack-nhfb, ajournal = "J. Appl. Probab.", fjournal = "Journal of Applied Probability", journal-URL = "http://www.jstor.org/journals/00219002.html", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Ane:2017:PTC, author = "C{\'e}cile An{\'e} and Lam Si Tung Ho and Sebastien Roch", title = "Phase transition on the convergence rate of parameter estimation under an {Ornstein--Uhlenbeck} diffusion on a tree", journal = j-J-MATH-BIOL, volume = "74", number = "1--2", pages = "355--385", month = jan, year = "2017", CODEN = "JMBLAJ", DOI = "https://doi.org/10.1007/s00285-016-1029-x", ISSN = "0303-6812 (print), 1432-1416 (electronic)", ISSN-L = "0303-6812", bibdate = "Mon Jan 16 14:34:09 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathbiol.bib", URL = "http://link.springer.com/article/10.1007/s00285-016-1029-x; http://link.springer.com/content/pdf/10.1007/s00285-016-1029-x.pdf", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Biology", journal-URL = "http://link.springer.com/journal/285", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Anikin:2017:SWC, author = "Yu. A. Anikin", title = "Solution of the {Wang} {Chang}--{Uhlenbeck} equation for molecular hydrogen", journal = j-COMPUT-MATH-MATH-PHYS, volume = "57", number = "6", pages = "1048--1065", year = "2017", DOI = "https://doi.org/10.1134/S0965542517060033", ISSN = "0965-5425 (print), 1555-6662 (electronic)", ISSN-L = "0965-5425", MRclass = "82D05 (81Q05)", MRnumber = "3667402", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Computational Mathematics and Mathematical Physics", } @Article{Avendano-Camacho:2017:PTA, author = "M. Avenda{\~n}o-Camacho and J. A. Vallejo and Yu. Vorobiev", title = "A perturbation theory approach to the stability of the {Pais--Uhlenbeck} oscillator", journal = j-J-MATH-PHYS, volume = "58", number = "9", pages = "093501", month = sep, year = "2017", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.5000382", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81T17", MRnumber = "3691975", bibdate = "Mon Oct 2 11:56:20 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2015.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bercu:2017:LDO, author = "Bernard Bercu and Adrien Richou", title = "Large deviations for the {Ornstein--Uhlenbeck} process without tears", journal = j-STAT-PROB-LETT, volume = "123", number = "??", pages = "45--55", month = apr, year = "2017", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Fri Mar 10 07:18:19 MST 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715216302838", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Bianchi:2017:TSO, author = "Michele Leonardo Bianchi and Svetlozar T. Rachev and Frank J. Fabozzi", title = "Tempered stable {Ornstein--Uhlenbeck} processes: a practical view", journal = j-COMMUN-STAT-SIMUL-COMPUT, volume = "46", number = "1", pages = "423--445", year = "2017", CODEN = "CSSCDB", DOI = "https://doi.org/10.1080/03610918.2014.966834", ISSN = "0361-0918", bibdate = "Thu Dec 8 12:04:18 MST 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/communstatsimulcomput2010.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Statistics: Simulation and Computation", journal-URL = "http://www.tandfonline.com/loi/lssp20", onlinedate = "12 Dec 2014", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Cao:2017:AAV, author = "Jian-Peng Cao and Yan-Bing Fang", title = "An analytical approach for variance swaps with an {Ornstein--Uhlenbeck} process", journal = j-ANZIAM-J, volume = "59", number = "1", pages = "83--102", month = jul, year = "2017", CODEN = "AJNOA2", DOI = "https://doi.org/10.1017/S1446181117000268", ISSN = "1446-1811 (print), 1446-8735 (electronic)", ISSN-L = "1446-1811", bibdate = "Fri Apr 26 16:14:12 MDT 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/anziamj.bib", URL = "https://www.cambridge.org/core/journals/anziam-journal/article/an-analytical-approach-for-variance-swaps-with-an-ornsteinuhlenbeck-process/EE61B8C62B4240CD4A91B1E1DF29F2EF", acknowledgement = ack-nhfb, ajournal = "ANZIAM J.", fjournal = "The ANZIAM Journal. The Australian \& New Zealand Industrial and Applied Mathematics Journal", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ", onlinedate = "19 July 2017", } @Article{deChaumaray:2017:LDS, author = "M. du Roy de Chaumaray", title = "Large Deviations for the Squared Radial {Ornstein--Uhlenbeck} Process", journal = j-THEORY-PROBAB-APPL, volume = "61", number = "3", pages = "408--441", month = "????", year = "2017", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97T988253", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Sun Oct 8 08:22:51 MDT 2017", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/61/3; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2017", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Donado:2017:BMN, author = "F. Donado and R. E. Moctezuma and L. L{\'o}pez-Flores and M. Medina-Noyola and J. L. Arauz-Lara", title = "{Brownian} motion in non-equilibrium systems and the {Ornstein--Uhlenbeck} stochastic process", journal = j-SCI-REP, volume = "7", number = "1", day = "3", month = oct, year = "2017", CODEN = "SRCEC3", DOI = "https://doi.org/10.1038/s41598-017-12737-1", ISSN = "2045-2322", bibdate = "Wed Apr 17 09:45:17 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "Scientific Reports", journal-URL = "http://www.nature.com/srep/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Hughes:2017:ELM, author = "Rachael A. Hughes and Michael G. Kenward and Jonathan A. C. Sterne and Kate Tilling", title = "Estimation of the linear mixed integrated {Ornstein--Uhlenbeck} model", journal = j-J-STAT-COMPUT-SIMUL, volume = "87", number = "8", pages = "1541--1558", year = "2017", CODEN = "JSCSAJ", DOI = "https://doi.org/10.1080/00949655.2016.1277425", ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163", ISSN-L = "0094-9655", bibdate = "Tue Mar 28 11:13:27 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Computation and Simulation", journal-URL = "http://www.tandfonline.com/loi/gscs20", onlinedate = "01 Jan 2017", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Mazzolo:2017:COU, author = "Alain Mazzolo", title = "Constraint {Ornstein--Uhlenbeck} bridges", journal = j-J-MATH-PHYS, volume = "58", number = "9", pages = "093302", month = sep, year = "2017", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.5000077", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Mon Oct 2 11:56:20 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys2015.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Sarkar:2017:CFP, author = "Kaushik Sarkar and Nayem Sk and Ranajit Mandal and Abhik Kumar Sanyal", title = "Canonical formulation of {Pais}--{Uhlenbeck} action and resolving the issue of branched {Hamiltonian}", journal = "Int. J. Geom. Methods Mod. Phys.", volume = "14", number = "3", pages = "1750038, 23", year = "2017", DOI = "https://doi.org/10.1142/S0219887817500384", ISSN = "0219-8878", MRclass = "83D05 (70H45 70H50)", MRnumber = "3608895", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Geometric Methods in Modern Physics", } @Article{Tran:2017:LPE, author = "Ngoc Khue Tran", title = "{LAN} property for an ergodic {Ornstein--Uhlenbeck} process with {Poisson} jumps", journal = j-COMMUN-STAT-THEORY-METH, volume = "46", number = "16", pages = "7942--7968", year = "2017", CODEN = "CSTMDC", DOI = "https://doi.org/10.1080/03610926.2016.1167908", ISSN = "0361-0926 (print), 1532-415X (electronic)", ISSN-L = "0361-0926", bibdate = "Thu Jun 8 17:26:16 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/communstattheorymeth2010.bib", URL = "http://www.tandfonline.com/doi/full/10.1080/03610926.2016.1167908", acknowledgement = ack-nhfb, fjournal = "Communications in Statistics: Theory and Methods", journal-URL = "http://www.tandfonline.com/loi/lsta20", onlinedate = "29 Jul 2016", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Yano:2017:FACb, author = "Ryosuke Yano", title = "Fast and accurate calculation of dilute quantum gas using {Uehling--Uhlenbeck} model equation", journal = j-J-COMPUT-PHYS, volume = "330", number = "??", pages = "1010--1021", day = "1", month = feb, year = "2017", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2016.10.071", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76Y05 (65C05 82D05)", MRnumber = "3581504", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputphys2015.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999116305794", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Yurachkivsky:2017:LDG, author = "Andriy Yurachkivsky", title = "Limit Distribution of a Generalized {Ornstein--Uhlenbeck} Process", journal = j-INT-J-STAT-PROBAB, volume = "6", number = "1", pages = "24--??", month = "????", year = "2017", CODEN = "????", ISSN = "1927-7032 (print), 1927-7040 (electronic)", ISSN-L = "1927-7032", bibdate = "Sun Apr 2 09:08:15 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/intjstatprobab.bib", URL = "http://www.ccsenet.org/journal/index.php/ijsp/article/view/65098", acknowledgement = ack-nhfb, fjournal = "International Journal of Statistics and Probability", journal-URL = "http://www.ccsenet.org/journal/index.php/ijsp/issue/archive", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Zhang:2017:SDO, author = "Zhenzhong Zhang and Wenlong Wang", title = "The stationary distribution of {Ornstein--Uhlenbeck} process with a two-state {Markov} switching", journal = j-COMMUN-STAT-SIMUL-COMPUT, volume = "46", number = "6", pages = "4783--4794", year = "2017", CODEN = "CSSCDB", DOI = "https://doi.org/10.1080/03610918.2015.1132321", ISSN = "0361-0918", ISSN-L = "0361-0918", bibdate = "Fri Aug 18 09:09:52 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/communstatsimulcomput2010.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Statistics: Simulation and Computation", journal-URL = "http://www.tandfonline.com/loi/lssp20", onlinedate = "13 Jan 2016", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Zhou:2017:OTL, author = "Jiang Zhou and Lan Wu and Yang Bai", title = "Occupation times of {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes with two-sided exponential jumps and applications", journal = j-STAT-PROB-LETT, volume = "125", number = "??", pages = "80--90", month = jun, year = "2017", CODEN = "SPLTDC", ISSN = "0167-7152 (print), 1879-2103 (electronic)", ISSN-L = "0167-7152", bibdate = "Thu Jun 8 14:57:50 MDT 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0167715217300433", acknowledgement = ack-nhfb, fjournal = "Statistics \& Probability Letters", journal-URL = "http://www.sciencedirect.com/science/journal/01677152", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Abdelrazeq:2018:GFT, author = "Ibrahim Abdelrazeq and B. Gail Ivanoff and Rafal Kulik", title = "Goodness-of-fit tests for {L{\'e}vy}-driven {Ornstein--Uhlenbeck} processes", journal = j-CAN-J-STAT, volume = "46", number = "2", pages = "355--376", month = jun, year = "2018", CODEN = "????", DOI = "https://doi.org/10.1002/cjs.11352", ISSN = "0319-5724 (print), 1708-945X (electronic)", ISSN-L = "0319-5724", bibdate = "Fri Aug 10 10:00:44 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/canjstat.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1002/cjs.11352", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Statistics = Revue canadienne de statistique", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1708-945X/", onlinedate = "23 March 2018", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Chen:2018:ICP, author = "Fuqi Chen and Rogemar Mamon and S{\'e}v{\'e}rien Nkurunziza", title = "Inference for a change-point problem under a generalised {Ornstein--Uhlenbeck} setting", journal = j-ANN-INST-STAT-MATH-TOKYO, volume = "70", number = "4", pages = "807--853", month = aug, year = "2018", CODEN = "AISXAD", DOI = "https://doi.org/10.1007/s10463-017-0610-4", ISSN = "0020-3157 (print), 1572-9052 (electronic)", ISSN-L = "0020-3157", bibdate = "Fri Mar 15 10:46:28 MDT 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib", URL = "http://link.springer.com/article/10.1007/s10463-017-0610-4", acknowledgement = ack-nhfb, fjournal = "Annals of the Institute of Statistical Mathematics", journal-URL = "http://link.springer.com/journal/10463", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Cortines:2018:GES, author = "Aser Cortines and Bastien Mallein", title = "The genealogy of an exactly solvable {Ornstein--Uhlenbeck} type branching process with selection", journal = j-ELECTRON-COMMUN-PROBAB, volume = "23", number = "??", pages = "98:1--98:13", month = "????", year = "2018", CODEN = "????", ISSN = "1083-589X", ISSN-L = "1083-589X", bibdate = "Sat Mar 16 10:07:34 MDT 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/ecp.bib", URL = "https://projecteuclid.org/euclid.ecp/1545102494", acknowledgement = ack-nhfb, ajournal = "Electron. Commun. Probab.", fjournal = "Electronic Communications in Probability", journal-URL = "http://ecp.ejpecp.org/", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Dzupire:2018:LPB, author = "Nelson Christopher Dzupire and Philip Ngare and Leo Odongo", title = "{L{\'e}vy} process based {Ornstein--Uhlenbeck} temperature model with time varying speed of mean reversion", journal = j-ADV-APPL-STAT, volume = "53", number = "3", pages = "199--224", month = sep, year = "2018", CODEN = "????", DOI = "https://doi.org/10.17654/AS053030199", ISSN = "0972-3617", ISSN-L = "0972-3617", bibdate = "Sat Mar 16 15:59:07 MDT 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/advapplstat.bib", URL = "http://www.pphmj.com/abstract/12012.htm", acknowledgement = ack-nhfb, ajournal = "Adv. Appl. Stat.", fjournal = "Advances and Applications in Statistics", journal-URL = "http://www.pphmj.com/journals/contents/adas.htm", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Prakapenia:2018:NSTb, author = "M. A. Prakapenia and I. A. Siutsou and G. V. Vereshchagin", title = "Numerical scheme for treatment of {Uehling--Uhlenbeck} equation for two-particle interactions in relativistic plasma", journal = j-J-COMPUT-PHYS, volume = "373", number = "??", pages = "533--544", day = "15", month = nov, year = "2018", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2018.07.010", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76Y05 (76X05 82D10)", MRnumber = "3854157", bibdate = "Thu Apr 18 12:04:33 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jcomputphys2015.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999118304650", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Book{vanCalmthout:2018:SGH, editor = "Martijn van Calmthout and Michiel Horn", title = "{Sam Goudsmit} and the hunt for {Hitler}'s atom bomb", publisher = pub-PROMETHEUS-BOOKS, address = pub-PROMETHEUS-BOOKS:adr, pages = "243 + 14", year = "2018", ISBN = "1-63388-450-3 (hardcover), 1-63388-451-1 (e-book)", ISBN-13 = "978-1-63388-450-2 (hardcover), 978-1-63388-451-9 (e-book)", LCCN = "DS135.N6 G65613 2018", bibdate = "Sat Apr 13 15:58:03 MDT 2019", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", abstract = "The first biography in English of a leading Dutch American physicist, who discovered the subatomic property of ``spin'' and spearheaded the search for Hitler's atom bomb as World War II came to an end.", acknowledgement = ack-nhfb, author-dates = "1961--", remark = "English translation of \cite{vanCalmthout:2016:SGJ}.", shorttableofcontents = "Prologue: A home stripped bare: The Hague, September 1945 \\ Nothing to lose as yet: Leiden, September 1927 \\ Appeals and Zeeman's chair: Michigan, 1933--1940 \\ The shadow of war: Boston, 1941--1944 \\ Hitler's atom bomb: Paris, 1944 \\ Uranium and heavy water: Germany, 1944--1945 \\ The truth of Kistemaker: Amsterdam, 1960--1961 \\ Heisenberg's version: Cambridge, 1945--1973 \\ Sam's Cold War: Brookhaven, 1947--1978 \\ Under the spell of the scarab: Leiden--Nevada, 1925--1978", subject = "Goudsmit, Samuel A. (Samuel Abraham); Physicists; Netherlands; Biography; Jews; Atomic bomb; Germany; History; 20th century; Biography and Autobiography / Science and Technology; Science / Physics / Nuclear; Kernwaffe; Nationalsozialismus; Physiker; Niederlande", subject-dates = "Samuel A. Goudsmit (1902--1978)", tableofcontents = "Editor/Translator's Note / 11 \\ Preface / 13 \\ Prologue: A Home Stripped Bare: The Hague, September 1945 / 19 \\ 1: Nothing to Lose as Yet: Leiden, September 1927 / 27 \\ 2: Appeals and Zeeman's Chair: Michigan, 1933--1940 / 47 \\ 3: The Shadow of War: Boston, 1941--1944 / 65 \\ 4: Hider's Atom Bomb: Paris, 1944 / 77 \\ 5: Uranium and Heavy Water: Germany, 1944--1945 / 101 \\ 6: The Truth of Kistemaker: Amsterdam, 1960--1961 / 129 \\ 7: Heisenberg's Version: Cambridge, 1945--1973 / 149 \\ 8: Sam's Cold War: Brookhaven, 1947--1978 / 171 \\ 9: Under the Spell of the Scarab: Leiden--Nevada, 1925--1978 / 205 \\ Bibliography / 235 \\ Index / 239", } @Article{Chigansky:2019:SAM, author = "P. Chigansky and M. Kleptsyna", title = "Statistical Analysis of the Mixed Fractional {Ornstein--Uhlenbeck} Process", journal = j-THEORY-PROBAB-APPL, volume = "63", number = "3", pages = "408--425", month = "????", year = "2019", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97T989143", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Wed Mar 13 10:08:44 MDT 2019", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/63/3; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2019", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Lisovskii:2019:STT, author = "D. I. Lisovskii and A. N. Shiryaev", title = "Sequential Testing of Two Hypotheses for a Stationary {Ornstein--Uhlenbeck} Process", journal = j-THEORY-PROBAB-APPL, volume = "63", number = "4", pages = "580--593", month = "????", year = "2019", CODEN = "TPRBAU", DOI = "https://doi.org/10.1137/S0040585X97T98926X", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Wed Mar 13 10:08:47 MDT 2019", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/63/4; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, fjournal = "Theory of Probability and its Applications", journal-URL = "http://epubs.siam.org/tvp", onlinedate = "January 2019", subject-dates = "George E. Uhlenbeck (1900--1988)", } @Article{Zang:2019:ABT, author = "Qingpei Zang and Lixin Zhang", title = "Asymptotic Behaviour of the Trajectory Fitting Estimator for Reflected {Ornstein--Uhlenbeck} Processes", journal = j-J-THEOR-PROBAB, volume = "32", number = "1", pages = "183--201", month = mar, year = "2019", CODEN = "JTPREO", DOI = "https://doi.org/10.1007/s10959-017-0796-7", ISSN = "0894-9840 (print), 1572-9230 (electronic)", ISSN-L = "0894-9840", bibdate = "Fri Mar 15 11:37:51 MDT 2019", bibsource = "http://link.springer.com/journal/10959/32/1; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Theoretical Probability", journal-URL = "http://link.springer.com/journal/10959", subject-dates = "George E. Uhlenbeck (1900--1988)", }

%%% ==================================================================== %%% Cross-referenced entries must come last. %%% %%% Entries are sorted by year, and then by citation label, with %%% ``bibsort --byyear''.

@Book{vanderWaals:1935:PZM, editor = "J. D. {van der Waals, Jr.}", booktitle = "{Pieter Zeeman: 1865--25 Mei 1935; verhandelingen op 25 Mei 1935 aangeboden aan P. Zeeman}", title = "{Pieter Zeeman: 1865--25 Mei 1935; verhandelingen op 25 Mei 1935 aangeboden aan P. Zeeman}", publisher = "Nijhoff", address = "'s-Gravenhage, The Netherlands", pages = "xi + 423", year = "1935", bibdate = "Wed Apr 24 10:15:13 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, author-dates = "Pieter Zeeman (1865--1943)", } @Book{Lawson:1950:TS, editor = "James L. Lawson and George E. Uhlenbeck", booktitle = "Threshold Signals", title = "Threshold Signals", volume = "24", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xii + 388", year = "1950", bibdate = "Thu Apr 18 10:52:34 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Radiation laboratory series", acknowledgement = ack-nhfb, } @Proceedings{Kac:1959:PRT, editor = "Mark Kac and George E. Uhlenbeck", booktitle = "Probability and Related Topics in Physical Sciences: Proceedings of the Summer Seminar, {Boulder, Colorado}, 1957", title = "Probability and Related Topics in Physical Sciences: Proceedings of the Summer Seminar, {Boulder, Colorado}, 1957", volume = "1", publisher = pub-AMS, address = pub-AMS:adr, pages = "xiii + 266", year = "1959", ISBN = "0-8218-0047-7", ISBN-13 = "QA273 .K11 1976", LCCN = "QA273 .K11 197", bibdate = "Thu Apr 18 18:47:53 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Lectures in applied mathematics", acknowledgement = ack-nhfb, editor-dates = "George E. Uhlenbeck (1900--1988); Mark Kac (1914--1984)", remark = "Expanded version of twelve lectures delivered at the Seminar in Applied Mathematics held in Boulder, Colorado, in the summer of 1957.", } @Book{Fierz:1960:TPT, author = "Markus Fierz and Victor Frederick Weisskopf", booktitle = "Theoretical physics in the {Twentieth Century}: a memorial volume to {Wolfgang Pauli}", title = "Theoretical physics in the {Twentieth Century}: a memorial volume to {Wolfgang Pauli}", publisher = pub-INTERSCIENCE, address = pub-INTERSCIENCE:adr, pages = "x + 328", year = "1960", LCCN = "QC3 .F52", bibdate = "Wed Jul 28 17:24:04 MDT 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib; z3950.loc.gov:7090/Voyager", note = "See \cite{Goudsmit:1961:PNS} for comments on some inaccuracies in this book, and on the history of the discovery of the spin of the electron and the nucleus.", acknowledgement = ack-nhfb, language = "German and English", subject = "Pauli, Wolfgang; Physics", subject-dates = "1900--1958", tableofcontents = "Foreword, by N. Bohr \\ The turning point, by R. Kronig \\ Erinnerungen an die Zeit der Entwicklung der Quantenmechanik, by W. Heisenberg \\ Quantum theory of fields, until 1947, by G. Wentzel. \\ Regularization and non-singular interactions in quantum field theory, by F. Villars \\ Das Pauli-Prinzip und die Lorentz-Gruppe, by R. Jost. \\ Paul and the theory of the solid state, by H. B. G. Casimir \\ Quantum theory of solids, by R. E. Peierls \\ Statistische Mechanik, by M. Fierz \\ Relativity, by V. Bargmann \\ Exclusion principle and spin, by B. L. van der Waerden. \\ Fundamental problems, by L. D. Landau \\ The neutrino, by C. S. Wu \\ Bibliography Wolfgang Pauli, by C. P. Enz", } @Proceedings{Kac:1960:PSS, editor = "Mark Kac", booktitle = "{Proceedings of the Summer Seminar, Boulder, Colorado, 1960}", title = "{Proceedings of the Summer Seminar, Boulder, Colorado, 1960}", publisher = pub-AMS, address = pub-AMS:adr, pages = "????", year = "1960", LCCN = "QC20 .S84 1960", bibdate = "Tue Apr 23 14:49:04 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", note = "Four volumes.", acknowledgement = ack-nhfb, author-dates = "Mark Kac (1914--1984)", tableofcontents = "v. 1. Lectures in statistical mechanics, by G. E. Uhlenbeck and G. W. Ford. With an appendix on quantum statistics of interacting particles, by E. W. Montroll \\ v. 2. Mathematical problems of relativistic physics, by I. E. Segal. With an appendix on group representations in Hilbert space, by G. W. Mackey \\ v. 3. Perturbation of spectra in Hilbert space, by K. O. Friedrichs \\ v. 4. The general theory of quantized fields, by R. Jost.", } @Book{deBoer:1962:SSM, author = "Jan Hendrik de Boer and George Eugene Uhlenbeck", booktitle = "Studies in Statistical Mechanics", title = "Studies in Statistical Mechanics", volume = "I", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "x + 350", year = "1962", ISBN = "0-7204-1105-X", ISBN-13 = "978-0-7204-1105-8", LCCN = "QC175 S77", MRclass = "82.00", MRnumber = "0136380", MRreviewer = "R. Balescu", bibdate = "Thu Apr 18 10:29:21 MDT 2019", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Series in Physics", acknowledgement = ack-nhfb, remark = "Co-published with Interscience, New York, NY, USA.", } @Book{deBoer:1964:SSM, author = "Jan Hendrik de Boer and George Eugene Uhlenbeck", booktitle = "Studies in Statistical Mechanics", title = "Studies in Statistical Mechanics", volume = "II", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "vii + 272", year = "1964", LCCN = "????", bibdate = "Tue Apr 23 14:21:02 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, } @Book{deBoer:1965:SSM, author = "Jan Hendrik de Boer and George Eugene Uhlenbeck", booktitle = "Studies in Statistical Mechanics", title = "Studies in Statistical Mechanics", volume = "III", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "x + 388", year = "1965", LCCN = "????", bibdate = "Tue Apr 23 14:21:02 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, } @Book{Lawson:1965:TS, editor = "James L. Lawson and George E. Uhlenbeck", booktitle = "Threshold Signals", title = "Threshold Signals", volume = "24", publisher = pub-DOVER, address = pub-DOVER:adr, pages = "xii + 388", year = "1965", bibdate = "Thu Apr 18 10:52:34 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Radiation laboratory series", acknowledgement = ack-nhfb, } @Proceedings{Meixner:1965:SME, editor = "Josef Meixner", booktitle = "Statistical Mechanics of equilibrium and non-equilibrium; Proceedings of the {International Symposium on Statistical Mechanics and Thermodynamics}. {Held at Aachen, Germany, 15--20 June 1964}", title = "Statistical Mechanics of equilibrium and non-equilibrium; Proceedings of the {International Symposium on Statistical Mechanics and Thermodynamics}. {Held at Aachen, Germany, 15--20 June 1964}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "274", year = "1965", bibdate = "Tue Apr 23 14:56:51 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, } @Proceedings{Cohen:1968:FPS, editor = "E. G. D. Cohen", booktitle = "Fundamental Problems in Statistical Mechanics", title = "Fundamental Problems in Statistical Mechanics", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "????", year = "1968", bibdate = "Tue Apr 23 16:04:01 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, editor-dates = "E. G. D. Cohen (1923--2017)", } @Book{Chang:1970:KTGb, author = "C. S. Wang Chang and G. E. Uhlenbeck and J. Foch and G. W. Ford", booktitle = "The Kinetic Theory of Gases", title = "The Kinetic Theory of Gases", volume = "5", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xiv + 239", year = "1970", ISBN = "0-444-10008-3", ISBN-13 = "978-0-444-10008-5", LCCN = "QC175 S933 v.5 1970", bibdate = "Thu Apr 18 10:29:19 MDT 2019", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Studies in statistical mechanics", acknowledgement = ack-nhfb, subject = "Mec{\'a}nica estad{\'i}stica", tableofcontents = "Part A: The kinetic theory of gases / by C. S. Wang Chang and G. E. Uhlenbeck \\ Part B: The dispersion of sound in monoatomic gases / by J. Foch and G. W. Ford", } @Proceedings{Cohen:1971:SMT, editor = "E. G. D. Cohen", booktitle = "Statistical Mechanics at the Turn of the Decade", title = "Statistical Mechanics at the Turn of the Decade", publisher = pub-DEKKER, address = pub-DEKKER:adr, pages = "viii + 235", year = "1971", ISBN = "0-8247-1111-4", ISBN-13 = "978-0-8247-1111-5", LCCN = "QC175 .S7", bibdate = "Mon Aug 26 17:58:02 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, editor-dates = "E. G. D. Cohen (1923--2017)", remark = "Lectures presented at a symposium which was held Oct. 28 and 29, 1969, at Northwestern University, Evanston, Illinois, USA, to commemorate the 70th birthday of Professor G. E. Uhlenbeck.", subject = "Statistical mechanics", } @Proceedings{Weiner:1972:EHN, editor = "Charles Weiner and Elspeth Hart", booktitle = "{Exploring the history of nuclear physics: proceedings of the American Institute of Physics--American Academy of Arts and Sciences conferences on the history of nuclear physics, 1967 and 1969}", title = "{Exploring the history of nuclear physics: proceedings of the American Institute of Physics--American Academy of Arts and Sciences conferences on the history of nuclear physics, 1967 and 1969}", volume = "7", publisher = pub-AIP, address = pub-AIP:adr, pages = "xx + 271", year = "1972", ISSN = "0094-243X, 1551-7616, 1935-0465", LCCN = "QC173 .E88 1972", bibdate = "Tue Jul 19 09:07:27 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutherford-ernest.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "AIP conference proceedings", acknowledgement = ack-nhfb, keywords = "Barbara Buck; Barbara Reeves; Barry Richman; Charles Weiner; Cyril S. Smith; Daniel J. Kevles; Dudley Shapere; Elspeth B. Hart; Emilio G. Segr{\`e}; Erwin N. Hiebert; Everett Mendelsohn; Garrett Birkhoff; George E. Uhlenbeck; Gerald Holton; H. William Koch; Hans A. Bethe; Harriet Zuckerman; Henry G. Small; I. Bernard Cohen; Joan Bromberg; John A. Wheeler; John Voss; Lewis Auerbach; Lewis Slack; M. Stanley Livingston; Martin J. Klein; Maurice Goldhaber; Merle A. Tuve; Oscar Handlin; Peter A. Caws; Philip A. Morrison; Raymond G. Herb; Robert K. Merton; Robert R. Wilson; Robert S. Cohen; Robert Serber; Thomas S. Kuhn; Valentine L. Telegdi; Victor F. Weisskopf", remark = "First Exploratory Conference on the History of Nuclear Physics, May 18, 19, 1967, Brookline, MA, USA. Second Exploratory Conference on the History of Nuclear Physics, May 18, 19, 1969, Brookline, MA, USA. See also \cite{Stuewer:1979:NPR} for a third conference with many of the original researchers.", tableofcontents = "Foreword by I. Bernard Cohen and Victor F. Weisskopf / vii \\ Introduction by Charles Weiner / xii \\ Emergence and Growth of Nuclear Physics as a Research Field / 1 \\ Participants in May 1967 Conference / 3 \\ Session I. The Initiation of Nuclear Physics as a Major Research Field / 5 \\ Session II. The Interaction of Theory and Experiment / 41 \\ Session III. Postwar Development of Nuclear Physics / 71 \\ Session IV. Evaluation of Initial Work / 99 \\ The Role of Theory in the Development of Nuclear Physics / 117 \\ Participants in May 1969 Conference / 119 \\ Session I. Prewar Nuclear Theory / 121 \\ Session II. Postwar Nuclear Theory / 197 \\ Session III. Plans for Further Research / 239 \\ Appendices \\ Appendix I. Discussion Paper: Prospects for Historical Research / 251 \\ Appendix II. Data Resources for Research on the History of Nuclear Physics / 264 \\ Appendix III. Original Source Materials for the History of Nuclear Physics / 269 \\ A. Documentary Materials / 269 \\ B. Oral History Interviews / 270", } @Book{Cohen:1973:BET, editor = "E. G. D. Cohen and W. Thirring", booktitle = "The {Boltzmann} Equation: Theory and Applications", title = "The {Boltzmann} Equation: Theory and Applications", volume = "10\slash 1973", publisher = "Springer Vienna", address = "Vienna, Austria", year = "1973", DOI = "https://doi.org/10.1007/978-3-7091-8336-6", ISBN = "3-7091-8338-3 (print), 3-7091-8336-7 (e-book)", ISBN-13 = "978-3-7091-8338-0 (print), 978-3-7091-8336-6 (e-book)", ISSN = "0177-8811", ISSN-L = "0177-8811", LCCN = "QC173.96-174.52", bibdate = "Thu Apr 18 15:25:27 MDT 2019", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", series = "Acta Physica Austriaca, Supplementum X Proceedings of the International Symposium ``100 Years Boltzmann Equation'' in Vienna 4th--8th September 1972", URL = "https://link.springer.com/book/10.1007/978-3-7091-8336-6", abstract = "In,1872, Boltzmann published a paper which for the first time provided a precise mathematical basis for a discussion of the approach to equilibrium. The paper dealt with the approach to equilibrium of a dilute gas and was based on an equation --- the Boltzmann equation, as we call it now --- for the velocity distribution function of such gas. The Boltzmann equation still forms the basis of the kinetic theory of gases and has proved fruitful not only for the classical gases Boltzmann had in mind, but also --- if properly generalized --- for the electron gas in a solid and the excitation gas in a superfluid. Therefore it was felt by many of us that the Boltzmann equation was of sufficient interest, even today, to warrant a meeting, in which a review of its present status would be undertaken. Since Boltzmann had spent a good part of his life in Vienna, this city seemed to be a natural setting for such a meeting. The first day was devoted to historical lectures, since it was generally felt that apart from their general interest, they would furnish a good introduction to the subsequent scientific sessions. We are very much indebted to Dr. D. Flamm, who not only took the time to prepare an informative and charming lecture of the life of his grandfather, but who also kindly gave us permission to use an hitherto unknown picture of his grandfather, taken probably around 1872, as a frontispiece of this book.", acknowledgement = ack-nhfb, editor-dates = "E. G. D. Cohen (1923--2017)", subject = "Quantum theory; Physics; Physical Sciences and Mathematics; Atomic Physics; Quantum Physics; Quantum Information Technology, Spintronics; Classical and Continuum Physics", tableofcontents = "Welcome Speech \\ Life and Personality of Ludwig Boltzmann \\ Philosophical Biography of Ludwig Boltzmann \\ The Development of Boltzmann's Statistical Ideas \\ The Validity and the Limitations of the Boltzmann Equation \\ Comment to Professor Uhlenbeck's Paper \\ On Higher Order Hydrodynamic Theories of Shock Structure \\ Sound From the Boltzmann Equation \\ The Generalization of the Boltzmann Equation to Higher Densities \\ The Three-Particle Collision Term in the Generalized Boltzmann Equation \\ Velocity Correlation Functions for Moderately Dense Gases \\ On Kinetic Equations for Particles with Internal Degrees of Freedom \\ Flow-Birefringence in Gases, An Example of the Kinetic Theory Based on the Boltzmann Equation for Rotating Particles \\ Non-Equilibrium Angular Momentum Polarization in Rotating Molecules \\ The Boltzmann Equation in Solid State Physics \\ Experimental and Theoretical Investigations in Semiconductors Concerning the Boltzmann Equation \\ Some Probabilistic Aspects of the Boltzmann Equation \\ The Statistical Interpretation of Non-Equilibrium Entropy \\ A Review of Computer Studies in the Kinetic Theory of Fluids \\ A Survey of Neutron Transport Theory \\ Relativistic Boltzmann Theory \\ Kinetic Equation for Elementary Excitations in Quantum Systems \\ Ergodic Theory \\ Ergodic Theory \\ Ergodic Theory and Approach to Equilibrium for Finite and Infinite Systems \\ Erinnerungen an Boltzmanns Vorlesungen", } @Proceedings{Mehra:1973:PCN, editor = "Jagdish Mehra", booktitle = "{The physicist's conception of nature: Symposium on the Development of the Physicist's Conception of Nature in the 20th century. Held at the International Centre for Theoretical Physics, Miramare, Trieste, Italy, 18--25 September 1972}", title = "{The physicist's conception of nature: Symposium on the Development of the Physicist's Conception of Nature in the 20th century. Held at the International Centre for Theoretical Physics, Miramare, Trieste, Italy, 18--25 September 1972}", publisher = pub-REIDEL, address = pub-REIDEL:adr, pages = "xxiii + 840", year = "1973", DOI = "https://doi.org/10.1007/978-94-010-2602-4", ISBN = "90-277-0345-0, 90-277-2536-5", ISBN-13 = "978-90-277-0345-3, 978-90-277-2536-3", LCCN = "QC173.96 .S95 1972", bibdate = "Mon Aug 27 08:08:28 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/p/peierls-rudolf.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rutherford-ernest.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.springer.com/us/book/9789027703453", acknowledgement = ack-nhfb, remark = "Dedicated to Paul Adrien Maurice Dirac on the occasion of his seventieth birthday.", subject = "Quantum theory; Congresses; Physics; History; Philosophy; Matter; Constitution", tableofcontents = "1: Development of the Physicist's Conception of Nature / Dirac, P. A. M. / 1--14 \\ 2: The Universe as a Whole / Sciama, Dennis W. / 17--33 \\ 3: A Chapter in the Astrophysicist's View of the Universe / Chandrasekhar, S. / 34--44 \\ 4: Fundamental Constants and Their Development in Time / Dirac, P. A. M. / 45--59 \\ 5: The Expanding Earth / Jordan, Pascual / 60--70 \\ 6: The Nature and Structure of Spacetime / Ehlers, J{\"u}rgen / 71--91 \\ 7: Einstein, Hilbert, and the Theory of Gravitation / Mehra, Jagdish / 92--178 \\ 8: Theory of Gravitation / Trautman, Andrzej / 179--201 \\ 9: From Relativity to Mutability / Wheeler, John Archibald / 202--247 \\ 10: The Wave-Particle Dilemma / Rosenfeld, L{\'e}on / 251--263 \\ 11: Development of Concepts in the History of Quantum Theory / Heisenberg, Werner / 264--275 \\ 12: From Matrix Mechanics and Wave Mechanics to Unified Quantum Mechanics / Waerden, B. L. / 276--293 \\ 13: Early Years of Quantum Mechanics: Some Reminiscences / Jordan, Pascual / 294--299 \\ 14: The Mathematical Structure of Elementary Quantum Mechanics / Jauch, Josef M. / 300--319 \\ 15: Relativistic Equations in Quantum Mechanics / Wigner, Eugene P. / 320--330 \\ 16: The Electron: Development of the First Elementary Particle Theory / Rohrlich, Fritz / 331--369 \\ 17: The Development of Quantum Field Theory / Peierls, Rudolf E. / 370--379 \\ 18: Quantum Theory of Fields (until 1947) / Wentzel, Gregor / 380--403 \\ 19: Development of Quantum Electrodynamics / Tomonaga, Sin-Itiro / 404--412 \\ 20: A Report on Quantum Electrodynamics / Schwinger, Julian / 413--429 \\ 21: Progress in Renormalization Theory Since 1949 / Salam, Abdus / 430--446 \\ 22: Some Concepts in Current Elementary Particle Physics / Yang, Chen Ning / 447--453 \\ 23: Crucial Experiments on Discrete Symmetries / Telegdi, V. L. / 454--480 \\ 24: Superconductivity and Superfluidity / Casimir, H. B. G. / 481--498 \\ 25: Problems of Statistical Physics / Uhlenbeck, George E. / 501--513 \\ 26: Phase Transitions / Kac, Mark / 514--526 \\ 27: Approach to Thermodynamic Equilibrium (and other Stationary States) / Lamb, Willis E. / 527--547 \\ 28: Kinetic Approach to Non-Equilibrium Phenomena / Cohen, E. G. D. / 548--560 \\ 29: Time, Irreversibility and Structure / Prigogine, Ilya / 561--593 \\ 30: The Origin of Biological Information / Eigen, Manfred / 594--632 \\ 31: Classical and Quantum Descriptions / Weizs{\"a}cker, C. F. / 635--667 \\ 32: Wavefunction and Observer in the Quantum Theory / Cooper, Leon N / 668--683 \\ 33: The Problem of Measurement in Quantum Mechanics / Jauch, Josef M. / 684--686 \\ 34: Subject and Object / Bell, J. S. / 687--690 \\ 35: Subject, Object, and Measurement / Haag, R. / 691--696 \\ 36: Measurement Process and the Macroscopic Level of Quantum Mechanics / Prigogine, Ilya / 697--701 \\ 37: Why a New Approach to Found Quantum Theory? / Ludwig, G. / 702--708 \\ 38: A Process Conception of Nature / Finkelstein, David / 709--713 \\ 39: Quantum Logic and Non-Separability / Espagnat, Bernard / 714--735 \\ 40: Physics and Philosophy / Weizs{\"a}cker, C. F. / 736--746 \\ 41: Recollections of Lord Rutherford / Kapitza, P. L. / 749--765 \\ 42: W. Pauli's Scientific Work / Enz, Charles P. / 766--799 \\ 43: Remarks on Enrico Fermi / Chandrasekhar, S. / 800--802 \\ 44: The banquet of the symposium --- in honour of Paul Dirac, including an address on: The classical mind / Snow, C. P. / 805--819 \\ Appendix 1 Programme of the symposium \\ Appendix 2 Participants \\ Index of names", } @Proceedings{Anonymous:1974:RGD, editor = "Anonymous", booktitle = "Rarefied Gas Dynamics [Progress in Astronautics and Aeronautics]", title = "Rarefied Gas Dynamics [Progress in Astronautics and Aeronautics]", volume = "12", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "????", year = "1974", CODEN = "PRGDAJ", ISSN = "0539-0613", ISSN-L = "0539-0613", bibdate = "Tue Apr 23 16:11:29 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib", acknowledgement = ack-nhfb, } @Proceedings{Woolf:1980:SSP, editor = "Harry Woolf", booktitle = "Some strangeness in the proportion: a centennial symposium to celebrate the achievements of {Albert Einstein}", title = "Some strangeness in the proportion: a centennial symposium to celebrate the achievements of {Albert Einstein}", publisher = pub-AW, address = pub-AW:adr, pages = "xxxi + 539", year = "1980", ISBN = "0-201-09924-1", ISBN-13 = "978-0-201-09924-9", LCCN = "QC16.E5 S63", bibdate = "Mon Oct 9 06:44:09 MDT 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib; https://www.math.utah.edu/pub/tex/bib/jhistastron.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Einstein, Albert; congresses; Relativity (physics); quantum theory; astrophysics", subject-dates = "Albert Einstein (1879--1955)", tableofcontents = "Einstein's Europe / Felix Gilbert \\ Albert Einstein: encounter with America / Harry Woolf \\ Relativity and twentieth-century intellectual life / Ernest Nagel \\ Einstein's scientific program: the formative years / Gerald Holton \\ On some other approaches to electrodynamics in 1905 / Arthur I. Miller \\ Special relativity theory in engineering / Wolfgang K. H. Panofsky \\ Comments on ``Special relativity theory in engineering'' / Edward M. Purcell \\ Experimental challenges posed by the general theory of relativity / Irwin I. Shapiro \\ Comments on ``Experimental relativity / David T. Wilkinson \\ Theoretical advances in general relativity / Stephen W. Hawking \\ Comments on S. Hawking's ``Theoretical advances in general relativity'' / William G. Unruh \\ No firm foundation: Einstein and the early quantum theory / Martin J. Klein \\ Einstein's critique of Planck / Thomas S. Kuhn \\ Einstein on particles, fields, and the quantum theory / Abraham Pais \\ Comment on ``Einstein on particles, fields, and the quantum theory'' / Res Jost \\ General relativity and differential geometry / Shiing-shen Chern / 271--287 \\ Mathematics and physics / Tullio Regge \\ The size and shape of the universe / Martin J. Rees \\ Comment on ``The size and shape of the universe'' / Phillip J. E. Peebles \\ Galaxies and intergalactic matter / George B. Field \\ Comment on ``galaxies and intergalactic matter'' / Wallace L. W. Sargent \\ Beyond the black hole / John Archibald Wheeler \\ Comment on the topic ``Beyond the black hole'' / Freeman Dyson \\ Issues in cosmology / Dennis W. Sciama \\ Symmetry paradoxes and other cosmological comments / Charles W. Misner \\ On the extragalactic distance scale and the Hubble constant / Gerard de Vaucouleurs \\ Quantum gravity and supergravity / Yuval Ne'eman \\ Supergravity / Peter van Nieuwenhuizen \\ Thirty years of knowing Einstein / Eugene P. Wigner \\ Reminiscenses of Einstein / Else Rosenthal-Schneider \\ Some reminiscenses about Einstein's visits to Leiden / George E. Uhlenbeck \\ On playing with scientists: remarks at the Einstein centennial celebration concert by the Juilliard quartet / Robert Mann", } @Book{Pais:2000:GSP, author = "Abraham Pais", booktitle = "The Genius of Science: a Portrait Gallery", title = "The Genius of Science: a Portrait Gallery", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "356", year = "2000", ISBN = "0-19-850614-7 (hardcover)", ISBN-13 = "978-0-19-850614-0 (hardcover)", LCCN = "Q141 .P29 2000", bibdate = "Fri Oct 21 10:46:33 MDT 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; https://www.math.utah.edu/pub/bibnet/authors/b/born-max.bib; https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib; https://www.math.utah.edu/pub/bibnet/authors/g/goudsmit-samuel-a.bib; https://www.math.utah.edu/pub/bibnet/authors/p/pauli-wolfgang.bib; https://www.math.utah.edu/pub/bibnet/authors/u/uhlenbeck-george-e.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib; https://www.math.utah.edu/pub/tex/bib/shps-b.bib; z3950.loc.gov:7090/Voyager", URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/; http://www.loc.gov/catdir/toc/fy02/99046603.html", acknowledgement = ack-nhfb, subject = "Scientists; Biography; Science; History; 20th century", tableofcontents = "Introduction / 1--4 \\ 1 Niels Bohr / 6--29 \\ 2 Max Born / 30--47 \\ 3 Paul Dirac / 48--76 \\ 4 Albert Einstein / 78--83 \\ 5 Mitchell Feigenbaum / 84--104 \\ 6 Res Jost / 106--120 \\ 7 Oskar Klein / 122--147 \\ 8 Hendrik Kramers / 148--171 \\ 9 Tsung Dao Lee and Chen Ning Yang / 172--182 \\ 10 John von Neumann / 184--209 \\ 11 Wolfgang Pauli / 210--262 \\ 12 Isidor I. Rabi / 264--279 \\ 13 Robert Serber / 280--286 \\ 14 George Uhlenbeck [and Sam Goudsmit] / 288--325 \\ 15 Viktor Weisskopf / 326--329 \\ 16 Eugene Wigner / 330--351 \\ Onomasticon / 353--356", }