Random fragmentation and coagulation processes / Jean Bertoin.

Format:

Book

Author/Creator:

Bertoin, Jean, author.

Series:

Cambridge studies in advanced mathematics ; 102.

Cambridge studies in advanced mathematics ; 102

Language:

English

Subjects (All):

Stochastic processes.

Physical Description:

1 online resource (vii, 280 pages) : digital, PDF file(s).

Other Title:

Random Fragmentation & Coagulation Processes

Place of Publication:

Cambridge : Cambridge University Press, 2006.

Language Note:

English

Summary:

Fragmentation and coagulation are two natural phenomena that can be observed in many sciences and at a great variety of scales - from, for example, DNA fragmentation to formation of planets by accretion. This book, by the author of the acclaimed Lévy Processes, is the first comprehensive theoretical account of mathematical models for situations where either phenomenon occurs randomly and repeatedly as time passes. This self-contained treatment develops the models in a way that makes recent developments in the field accessible. Each chapter ends with a comments section in which important aspects not discussed in the main part of the text (often because the discussion would have been too technical and/or lengthy) are addressed and precise references are given. Written for readers with a solid background in probability, its careful exposition allows graduate students, as well as working mathematicians, to approach the material with confidence.

Contents:

Cover; Half-title; Series-title; Title; Copyright; Contents; Introduction; 1 Self-similar fragmentation chains; 2 Random partitions; 3 Exchangeable fragmentations; 4 Exchangeable coalescents; 5 Asymptotic regimes in stochastic coalescence; References; List of symbols; Index

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-17068-0

1-280-70379-2

9786610703791

0-511-24647-1

0-511-24716-8

0-511-24500-9

0-511-31810-3

0-511-61776-3

0-511-24577-7

OCLC:

171139954

Publisher Number:

9780521867283