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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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Book Details
Table of Contents
Chapter 0.
Preliminaries
Page 1-11
Chapter 1.
Bell polynomials, composite structures and Gibbs partitions
Page 13-35
Chapter 2.
Exchangeable random partitions
Page 37-53
Chapter 3.
Sequential constructions of random partitions
Page 55-75
Chapter 4.
Poisson constructions of random partitions
Page 77-95
Chapter 5.
Coagulation and fragmentation processes
Page 97-120
Chapter 6.
Random walks and random forests
Page 121-141
Chapter 7.
The Brownian forest
Page 143-175
Chapter 8.
Brownian local times, branching and Bessel processes
Page 177-191
Chapter 9.
Brownian bridge asymptotics for random mappings
Page 193-206
Chapter 10.
Random forests and the additive coalescent
Page 207-221
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- Created April 30, 2008
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April 6, 2014 | Edited by ImportBot | Added IA ID. |
May 24, 2012 | Edited by Jim Pitman | added toc |
May 24, 2012 | Edited by Jim Pitman | added link to free online version |
August 10, 2010 | Edited by IdentifierBot | added LibraryThing ID |
April 30, 2008 | Created by an anonymous user | Imported from amazon.com record |