Combinatorial Stochastic Processes
(Sprache: Englisch)
The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures...
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Klappentext zu „Combinatorial Stochastic Processes “
The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.
Inhaltsverzeichnis zu „Combinatorial Stochastic Processes “
- Preliminaries- Bell polynomials, composite structures and Gibbs partitions
- Exchangeable random partitions
- Sequential constructions of random partitions
- Poisson constructions of random partitions
- Coagulation and fragmentation processes
- Random walks and random forests
- The Brownian forest
- Brownian local times, branching and Bessel processes
- Brownian bridge asymptotics for random mappings
- Random forests and the additive coalescent
- Bibliography
- Index.
Autoren-Porträt von Jim Pitman
Jim Pitman is a Professor of Mathematics and Statistics at the University of California, Berkeley, where he has been employed since 1978. He attended the Australian National University and The University of Sheffield.
Bibliographische Angaben
- Autor: Jim Pitman
- 2006, 2006, 260 Seiten, 16 Schwarz-Weiß-Abbildungen, Maße: 15,6 x 23,7 cm, Kartoniert (TB), Englisch
- Herausgegeben: Jean Picard
- Verlag: Springer
- ISBN-10: 354030990X
- ISBN-13: 9783540309901
- Erscheinungsdatum: 11.05.2006
Sprache:
Englisch
Rezension zu „Combinatorial Stochastic Processes “
From the reviews:"The intertwining of many aspects of combinatorics and probability is treated in the book under review. ... I think this is an important book for a variety of mathematicians. Moreover, the good exercises provided in each section and a good bibliography make the book suitable as a textbook for topics courses and as a reference for particular topics in various standard courses." (Bert Fristedt, Mathematical Reviews, Issue 2008 c)
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