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Jim Pitman is an Emeritus Professor of Statistics and Mathematics at the University of California, Berkeley.
Biography
editJim Pitman (James W. Pitman) was born in Hobart, Australia, in June 1949, son of E. J. G. Pitman and Elinor J. Pitman, daughter of W. N. T. Hurst. He attended the Hutchins School, Hobart, Australia from 1954 to 1966, then the Australian National University (ANU) in Canberra, from 1967 to 1970. He received a BSc degree from the ANU in 1970, followed by a PhD in Probability and Statistics in 1974 from the University of Sheffield, with advisor Terry Speed. He lectured at the Universities of Copenhagen, Berkeley and Cambridge, from 1974 to 1978, before joining Berkeley as an Assistant Professor in 1978. Following promotion through professorial ranks, he retired from teaching duties at Berkeley in 2022. He has been a member of the Marin Cricket Club[1] since 1985.
Scientific work
editPitman is known for his research in the theory of probability, stochastic processes and enumerative combinatorics. In particular, for long-running collaborations with Marc Yor on distributional properties of Brownian motion and Bessel processes, and with David Aldous on the asymptotics of random combinatorial structures and models for continuum random trees. Much of his work is surveyed by his influential 2002 lecture notes at the Ecole d'Eté de Probabilités de Saint-Flour XXXII. [2]
Publications
editPitman has published over 170 articles in mathematical journals. Among the most influential are:
- Pitman, J. W. One-dimensional Brownian motion and the three-dimensional Bessel process.[3]
- Perman, Mihael ; Pitman, Jim ; Yor, Marc. Size-biased sampling of Poisson point processes and excursions.[4]
- Pitman, Jim. Exchangeable and partially exchangeable random partitions.[5]
- Pitman, Jim ; Yor, Marc . The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator.[6]
References
edit- ^ Marin Cricket Club: url=https://www.marincricketclub.com]
- ^ Combinatorial Stochastic Processes: Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002, url=https://link.springer.com/book/10.1007/b11601500
- ^ One-dimensional Brownian motion and the three-dimensional Bessel process. Advances in Appl. Probability 7 (1975), no. 3, 511--526. url=https://mathscinet.ams.org/mathscinet/pdf/375485.pdf?pg1=MR&s1=51:11677&loc=fromreflist
- ^ Size-biased sampling of Poisson point processes and excursions, Probab. Theory Related Fields 92 (1992), no. 1, 21--39. url=https://mathscinet.ams.org/mathscinet/pdf/1156448.pdf?pg1=MR&s1=51:11677&loc=fromreflist
- ^ Exchangeable and partially exchangeable random partitions, Probab. Theory Related Fields 102 (1995), no. 2, 145--158., url=https://mathscinet.ams.org/mathscinet/pdf/1337249.pdf?pg1=MR&s1=51:11677&loc=fromreflist
- ^ The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Ann. Probab. 25 (1997), no. 2, 855--900., url= https://mathscinet.ams.org/mathscinet/pdf/1434129.pdf?pg1=MR&s1=51:11677&loc=fromreflist
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