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Combinatorial stochastic processes : Ecole d'été de probabilités de Saint-Flour XXXII, 2002

Author: Jim Pitman; Jean Picard
Publisher: Berlin ; New York : Springer, 2006.
Series: Lecture notes in mathematics (Springer-Verlag), 1875.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Three series of lectures were given at the 32nd Probability Summer School in Saint-Flour (July 7-24, 2002), by the Professors Pitman, Tsirelson and Werner. ThecoursesofProfessorsTsirelson("Scalinglimit, noise, stability")andWerner ("Random planar curves and Schramm-Loewner evolutions") have been p- lished in a previous issue ofLectures Notes in Mathematics (volume 1840). This volume contains the course  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Pitman, Jim.
Combinatorial stochastic processes.
Berlin ; New York : Springer-Verlag, 2006
(DLC) 2006921042
(OCoLC)70104854
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jim Pitman; Jean Picard
ISBN: 9783540342663 3540342664 354030990X 9783540309901
OCLC Number: 262692193
Language Note: English.
Description: 1 online resource (ix, 256 pages) : illustrations.
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1875.
Responsibility: J. Pitman ; editor, Jean Picard.
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Abstract:

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  Read more...

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