书目名称 | Measure-Valued Branching Markov Processes |
编辑 | Zenghu Li |
视频video | |
概述 | For the first time a book in this research area.Gives treatments of the basic regularities of Dawson-Watanabe superprocesses with general branching mechanisms and spatial motions.Studies immigration s |
丛书名称 | Probability and Its Applications |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 20111st edition |
关键词 | 60J80; 60G57; 60J70; 60J85; 60J35; 60J40; Dawson-Watanabe superprocess; entrance law; generalized Ornst |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-15004-3 |
isbn_softcover | 978-3-642-26620-1 |
isbn_ebook | 978-3-642-15004-3Series ISSN 1431-7028 |
issn_series | 1431-7028 |
copyright | Springer-Verlag Berlin Heidelberg 2011 |