Random fragmentation and coagulation processes / Jean Bertoin

Auteur: Bertoin, Jean (1961-) - AuteurType de document: MonographieCollection: Cambridge studies in advanced mathematics ; 102Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, 2006Description: 1 vol. (280 p.) : ill. ; 24 cm ISBN: 0521867282 ; rel. Note: There have recently been many mathematical developments concerning coagulation and fragmentation processes, motivated by a large number of applications in biology, physics, chemistry, and computer science. In this book, Markovian stochastic systems of particles entirely characterized by their masses (or sizes) are described. It deals with fragmentation processes, in which particles split at some given rate to give smaller particles, and coagulation processes, in which particles coalesce to give larger particles. Essentially, three types of processes are studied: fragmentation processes, exchangeable coalescents, and stochastic coalescents. ... (MathSciNet)Bibliographie: Bibliogr. p. 264-275. Index. Sujets MSC: 60C05 Probability theory and stochastic processes -- Combinatorial probability -- Combinatorial probability
60F15 Probability theory and stochastic processes -- Limit theorems -- Strong theorems
60G09 Probability theory and stochastic processes -- Stochastic processes -- Exchangeability
60G18 Probability theory and stochastic processes -- Stochastic processes -- Self-similar processes
60G55 Probability theory and stochastic processes -- Stochastic processes -- Point processes
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There have recently been many mathematical developments concerning coagulation and fragmentation processes, motivated by a large number of applications in biology, physics, chemistry, and computer science.
In this book, Markovian stochastic systems of particles entirely characterized by their masses (or sizes) are described. It deals with fragmentation processes, in which particles split at some given rate to give smaller particles, and coagulation processes, in which particles coalesce to give larger particles.
Essentially, three types of processes are studied: fragmentation processes, exchangeable coalescents, and stochastic coalescents. ... (MathSciNet)

Bibliogr. p. 264-275. Index

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