What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Statistics
- Probability theory
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.
His most cited work include:
- The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator (974 citations)
- Combinatorial Stochastic Processes (861 citations)
- Coalescents With Multiple Collisions (488 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (42.86%)
- Mathematical analysis (24.08%)
- Brownian motion (22.86%)
What were the highlights of his more recent work (between 2012-2021)?
- Combinatorics (42.86%)
- Partition (12.65%)
- Distribution (12.24%)
In recent papers he was focusing on the following fields of study:
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.
Between 2012 and 2021, his most popular works were:
- Feature allocations, probability functions, and paintboxes (47 citations)
- Cluster and Feature Modeling from Combinatorial Stochastic Processes (37 citations)
- Web-based Demonstration of Semantic Similarity Detection Using Citation Pattern Visualization for a Cross Language Plagiarism Case (14 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Statistics
- Probability theory
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.
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