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This is a collection of expository articles about various topics at the interface between enumerative combinatorics and stochastic processes. These articles expand on a course of lectures given at the Ecole d’Eté de Probabilités de Saint-Flour XXXII in July 2002. Each article is fairly self-contained, so readers with adequate background can start reading any article, with occasional consultation of earlier articles as necessary. Most articles include both exercises and open problems
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Combinatorial Stochastic Processes: Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 (Lecture Notes in Mathematics 1875)
July 6, 2006, Springer
Paperback
in English
- 1 edition
354030990X 9783540309901
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Table of Contents
Chapter 0. Preliminaries
Chapter 1. Bell polynomials, composite structures and Gibbs partitions
Chapter 2. Exchangeable random partitions
Chapter 3. Sequential constructions of random partitions
Chapter 4. Poisson constructions of random partitions
Chapter 5. Coagulation and fragmentation processes
Chapter 6. Random walks and random forests
Chapter 7. The Brownian forest
Chapter 8. Brownian local times, branching and Bessel processes
Chapter 9. Brownian bridge asymptotics for random mappings
Chapter 10. Random forests and the additive coalescent
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April 6, 2014 | Edited by ImportBot | Added IA ID. |
May 24, 2012 | Edited by Jim Pitman | added toc |
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