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Titlebook: Measure-Valued Branching Markov Processes; Zenghu Li Book 2022Latest edition Springer-Verlag GmbH Germany, part of Springer Nature 2022 Me

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發(fā)表于 2025-3-21 18:32:18 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Measure-Valued Branching Markov Processes
編輯Zenghu Li
視頻videohttp://file.papertrans.cn/629/628073/628073.mp4
概述Includes a new chapter on one-dimensional stochastic equations and their links to stochastic flows.The chapter on state-dependent immigration has been completely rewritten.New results and examples hav
叢書名稱Probability Theory and Stochastic Modelling
圖書封面Titlebook: Measure-Valued Branching Markov Processes;  Zenghu Li Book 2022Latest edition Springer-Verlag GmbH Germany, part of Springer Nature 2022 Me
描述.This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein–Uhlenbeck type processes..Measure-valued branching processes arise as high density limits of branching particle systems. The first part of the book gives an analytic construction of a special class of such processes, the Dawson–Watanabe superprocesses, which includes the finite-dimensional continuous-state branching process as an example. Under natural assumptions, it is shown that the superprocesses have Borel right realizations. Transformations are then used to derive the existence and regularity of several different forms of the superprocesses. This technique simplifies the constructions and gives useful new perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The second part investigates immigration structures associated with the measure-valued branching processes. The structures are formulated by skewconvolution semigroups, which are characterized in terms of infinitely divisible probability entrance laws. A theory of stochastic equations for one-dimensional continuous-state branching processes with or wi
出版日期Book 2022Latest edition
關(guān)鍵詞Measure-valued branching processes; Immigration processes; Dawson-Watanabe superprocess; Skew convoluti
版次2
doihttps://doi.org/10.1007/978-3-662-66910-5
isbn_softcover978-3-662-66912-9
isbn_ebook978-3-662-66910-5Series ISSN 2199-3130 Series E-ISSN 2199-3149
issn_series 2199-3130
copyrightSpringer-Verlag GmbH Germany, part of Springer Nature 2022
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沙發(fā)
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One-Dimensional Branching Processes,ss with immigration which deals with the situation where immigrants may come from outer sources. In this chapter, we first give some characterizations of the extinction probabilities and evolution rates of CB-processes.
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Martingale Problems of Superprocesses,th Dawson– Watanabe superprocesses. Those problems induce martingale measures which are not necessarily orthogonal, but still worthy in the sense of Walsh (1986). We give a representation for the superprocesses in terms of stochastic integrals. The Girsanov type transform of Dawson (1978) is used to
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發(fā)表于 2025-3-22 18:17:38 | 只看該作者
Entrance Laws and Kuznetsov Measures,ndence between the minimal probability entrance laws for a Dawson–Watanabe superprocess and the entrance laws for its spatial motion. Based on the correspondence, a complete characterization is given for infinitely divisible probability entrance laws of the superprocess.
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Path-Valued Processes and Stochastic Flows,ee-valued processes of Abraham and Delmas (2012) and Aldous and Pitman (1998) and generalize naturally the flows studied by Bertoin and Le Gall (2000, 2006). We define such a flow by a path-valued growing process, which is actually a family of correlated CBI-processes parameterized by an interval.
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