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Measure-Valued Branching Markov Processes by Zenghu Li
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Measure-Valued Branching Markov Processes

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Description

Measure-valued branching processes arise as high density limits of branching particle systems. The Dawson-Watanabe superprocess is a special class of those. The author constructs superprocesses with Borel right underlying motions and general branching mechanisms and shows the existence of their Borel right realizations. He then uses transformations to derive the existence and regularity of several different forms of the superprocesses. This treatment simplifies the constructions and gives useful perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The most important feature of the book is the systematic treatment of immigration superprocesses and generalized Ornstein--Uhlenbeck processes based on skew convolution semigroups. The volume addresses researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.
Release date Australia
January 2nd, 2013
Author
Audience
  • Professional & Vocational
Illustrations
XI, 350 p.
Pages
350
Dimensions
155x235x19
ISBN-13
9783642266201
Product ID
21151775

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