Measure-Valued Branching Markov Processes (eBook, PDF)
Zenghu Li
eBook, PDF

Measure-Valued Branching Markov Processes (eBook, PDF)

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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. Th...

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