Jim Pitman,
Jean Picard
Combinatorial Stochastic Processes
Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002
Paperback Engels 2006 2006e druk 9783540309901Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783540309901
Taal:Engels
Bindwijze:paperback
Aantal pagina's:260
Uitgever:Springer Berlin Heidelberg
Druk:2006
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Inhoudsopgave
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.
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