Combinatorial Stochastic Processes

Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002

AvJim Pitman,Jean Picard

Häftad, Engelska, 2006

Del i serien Lecture Notes in Mathematics

588 kr

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Beskrivning

Aims to bring graduate students specializing in probability theory to research topics at the interface of combinatorics and stochastic processes, in particular the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and more.

Produktinformation

Utgivningsdatum:2006-05-11
Mått:155 x 235 x 21 mm
Vikt:420 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:260
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540309901

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

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)

Innehållsförteckning

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.