Jim Pitman focuses on Combinatorics, Mathematical analysis, Brownian motion, Discrete mathematics and Subordinator. His Combinatorics research includes themes of Poisson distribution and Probability distribution. His study in the field of Infinitesimal generator and Bessel function also crosses realms of Brownian excursion and Time inversion.
He interconnects Representation, Order and Random element in the investigation of issues within Discrete mathematics. The concepts of his Subordinator study are interwoven with issues in Almost surely, Point process, Brownian bridge and Zero set. His studies in Point process integrate themes in fields like Stochastic process and Statistical physics.
Jim Pitman mostly deals with Combinatorics, Mathematical analysis, Brownian motion, Discrete mathematics and Partition. Jim Pitman interconnects Probability distribution, Poisson distribution, Subordinator, Distribution and Random walk in the investigation of issues within Combinatorics. The study incorporates disciplines such as Composition and Zero set in addition to Subordinator.
His biological study spans a wide range of topics, including Fractional Brownian motion, Point process and Local time. His Brownian motion study combines topics in areas such as Bessel function, Pure mathematics, Regular polygon, Statistical physics and Path. His Random graph study in the realm of Discrete mathematics connects with subjects such as Random tree.
His primary scientific interests are in Combinatorics, Partition, Distribution, Brownian motion and Discrete mathematics. His research on Combinatorics focuses in particular on Almost surely. His Distribution research incorporates elements of Type, Order statistic, Series and Dirichlet series.
His Brownian motion research is multidisciplinary, relying on both Wiener process, Mathematical analysis, Inverse trigonometric functions, Embedding and Path. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Local time and Brownian bridge. His Discrete mathematics research is multidisciplinary, incorporating elements of Markov chain and Scaling.
Jim Pitman mainly investigates Combinatorics, Partition, Probability distribution, Brownian motion and Discrete mathematics. His Combinatorics study typically links adjacent topics like Class. His studies deal with areas such as Theoretical computer science, Probability density function, Bayesian probability and Cluster analysis as well as Partition.
The Probability distribution study combines topics in areas such as Sampling, Distribution and Independent and identically distributed random variables, Random variable. Jim Pitman works mostly in the field of Brownian motion, limiting it down to topics relating to Mathematical analysis and, in certain cases, Quantile, Brownian bridge and Random walk, as a part of the same area of interest. Jim Pitman undertakes interdisciplinary study in the fields of Discrete mathematics and Asymptotic distribution through his research.
The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
Jim Pitman;Marc Yor.
Annals of Probability (1997)
Combinatorial Stochastic Processes
Exchangeable and partially exchangeable random partitions
Probability Theory and Related Fields (1995)
Coalescents With Multiple Collisions
Annals of Probability (1999)
Some developments of the Blackwell-MacQueen urn scheme
A decomposition of Bessel Bridges
Jim Pitman;Marc Yor.
Probability Theory and Related Fields (1982)
Size-biased sampling of Poisson point processes and excursions
Mihael Perman;Jim Pitman;Marc Yor.
Probability Theory and Related Fields (1992)
ONE-DIMENSIONAL BROWNIAN MOTION AND THE THREE-DIMENSIONAL BESSEL PROCESS
James W. Pitman.
Advances in Applied Probability (1974)
Bessel processes and infinitely divisible laws
Jim Pitman;Marc Yor.
Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
Philippe Biane;Jim Pitman;Marc Yor.
Bulletin of the American Mathematical Society (2001)
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