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D-Index & Metrics

Mathematics

D-Index
65
Citations
15754
World Ranking
391
National Ranking
208

Overview

Jim Pitman is affiliated with the University of California, Berkeley in the United States. Their research contributions primarily span the fields of Mathematics and Computer Science, with a particular focus on Statistics and Probability, Artificial Intelligence, Applied Mathematics, Mathematical Physics, and Algebra and Number Theory.

The scientist's work covers a range of topics in advanced mathematical and statistical methods, including:

  • Bayesian Methods and Mixture Models
  • Stochastic processes and statistical mechanics
  • Advanced Mathematical Identities
  • Point processes and geometric inequalities
  • Random Matrices and Applications
  • Statistical Distribution Estimation and Applications
  • Financial Risk and Volatility Modeling

Jim Pitman has published extensively in several venues, highlighting diverse contributions across theoretical and applied probability as well as statistics. Key publication venues include:

  • arXiv (Cornell University)
  • Electronic Communications in Probability
  • The Annals of Probability
  • Annales de l Institut Henri Poincaré Probabilités et Statistiques
  • Electronic Journal of Probability

Recent papers by Jim Pitman demonstrate ongoing research in probabilistic theory and related statistics:

  • Hidden symmetries and limit laws in the extreme order statistics of the Laplace random walk, 2022, The Annals of Probability
  • Extreme order statistics of random walks, 2023, Annales de l Institut Henri Poincaré Probabilités et Statistiques
  • Feller coupling of cycles of permutations and Poisson spacings in inhomogeneous Bernoulli trials, 2020, Electronic Communications in Probability (co-authored with Joseph Najnudel)
  • Markovian structure in the concave majorant of Brownian motion, 2022, Electronic Journal of Probability (co-authored with Mehdi Ouaki)
  • Bounds on the probability of radically different opinions, 2020, Electronic Communications in Probability (co-authored with Krzysztof Burdzy)

Collaboration plays a role in their body of work, with frequent coauthors including:

  • Wenpin Tang
  • Mehdi Ouaki
  • Zhiyi You
  • Yassine El Maazouz
  • Joseph Najnudel

Jim Pitman's academic profile is shaped by a research trajectory focused on advancing understanding in stochastic processes, mathematical statistics, and related computational methods. Their work has contributed to knowledge in both foundational theory and practical applications in the domains of probability and artificial intelligence.

Best Publications

  • The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator

    Jim Pitman;Marc Yor

  • Combinatorial Stochastic Processes

    Jim Pitman

  • Exchangeable and partially exchangeable random partitions

    Jim Pitman

  • Coalescents With Multiple Collisions

    Jim Pitman

  • Some developments of the Blackwell-MacQueen urn scheme

    Jim Pitman

  • A decomposition of Bessel Bridges

    Jim Pitman;Marc Yor

  • Size-biased sampling of Poisson point processes and excursions

    Mihael Perman;Jim Pitman;Marc Yor

  • ONE-DIMENSIONAL BROWNIAN MOTION AND THE THREE-DIMENSIONAL BESSEL PROCESS

    James W. Pitman

  • Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions

    Philippe Biane;Jim Pitman;Marc Yor

  • Bessel processes and infinitely divisible laws

    Jim Pitman;Marc Yor

  • Exchangeable Gibbs partitions and Stirling triangles

    Alexander Gnedin;Jim Pitman

  • Markovian Bridges: Construction, Palm Interpretation, and Splicing

    Pat Fitzsimmons;Jim Pitman;Marc Yor

  • Poisson-Kingman partitions

    Jim Pitman

  • The standard additive coalescent

    David Aldous;Jim Pitman

  • A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron

    Richard P. Stanley;Jim Pitman

  • Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws ∗

    Alexander Gnedin;Ben Hansen;Jim Pitman

  • Asymptotic Laws of Planar Brownian Motion

    Jim Pitman;Marc Yor

  • Regenerative composition structures

    Alexander Gnedin;Jim Pitman

  • Poisson–Dirichlet and GEM Invariant Distributions for Split-and-Merge Transformations of an Interval Partition

    Jim Pitman

  • Discretization Error in Simulation of One-Dimensional Reflecting Brownian Motion

    Soren Asmussen;Peter Glynn;Jim Pitman

  • Probability laws related to the Jacobi theta and Riemann zeta function and Brownian excursions

    P. Biane;J. Pitman;M. Yor

Frequent Co-Authors

Marc Yor
Marc Yor Sorbonne University
David Aldous
David Aldous University of California, Berkeley
Steven N. Evans
Steven N. Evans University of California, Berkeley
Michael I. Jordan
Michael I. Jordan University of California, Berkeley
Jean Bertoin
Jean Bertoin University of Zurich
Krzysztof Burdzy
Krzysztof Burdzy University of Washington
Bela Gipp
Bela Gipp University of Göttingen
Peter W. Glynn
Peter W. Glynn Stanford University
Terence P. Speed
Terence P. Speed Walter and Eliza Hall Institute of Medical Research

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