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Titlebook: Measure-Valued Branching Markov Processes; Zenghu Li Textbook 20111st edition Springer-Verlag Berlin Heidelberg 2011 60J80; 60G57; 60J70;

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發(fā)表于 2025-3-21 17:22:26 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Measure-Valued Branching Markov Processes
編輯Zenghu Li
視頻videohttp://file.papertrans.cn/629/628074/628074.mp4
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
叢書名稱Probability and Its Applications
圖書封面Titlebook: Measure-Valued Branching Markov Processes;  Zenghu Li Textbook 20111st edition Springer-Verlag Berlin Heidelberg 2011 60J80; 60G57; 60J70;
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
關(guān)鍵詞60J80; 60G57; 60J70; 60J85; 60J35; 60J40; Dawson-Watanabe superprocess; entrance law; generalized Ornst
版次1
doihttps://doi.org/10.1007/978-3-642-15004-3
isbn_softcover978-3-642-26620-1
isbn_ebook978-3-642-15004-3Series ISSN 1431-7028
issn_series 1431-7028
copyrightSpringer-Verlag Berlin Heidelberg 2011
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5#
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https://doi.org/10.1007/978-3-642-15004-360J80; 60G57; 60J70; 60J85; 60J35; 60J40; Dawson-Watanabe superprocess; entrance law; generalized Ornst
6#
發(fā)表于 2025-3-22 13:42:21 | 只看該作者
Structures of Independent Immigration,oisson random measures determined by entrance rules. We discuss briefly martingale problems for the immigration superprocesses, from which some stochastic equations of one-dimensional CBI-processes are derived.
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Measure-Valued Branching Processes,measure-valued branching processes, the so-called Dawson–Watanabe superprocesses. We shall construct the superprocesses for admissible killing densities and general branching mechanisms that are not necessarily decomposable into local and non-local parts. A number of moment formulas for the superprocesses are also given.
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發(fā)表于 2025-3-23 04:53:45 | 只看該作者
Branching Particle Systems, show the ideas in a simple and clear way, we shall first develop the results in detail for local branching particle systems. After that we show how the argument can be modified to general non-local branching models.
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