| 测度值分枝过程与移民过程 |
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| 引用本文： | 李增沪,王梓坤.测度值分枝过程与移民过程[J].数学进展,1999,28(2):105-134. |
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| 作者姓名： | 李增沪 王梓坤 |
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| 作者单位： | 北京师范大学数学系!北京，１００８７５，中国，北京师范大学数学系!北京，１００８７５，中国，汕头大学数学系，汕头，广东，515063，中国 |
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| 摘 要： | 本文介绍了测度值分枝过程和由斜卷积半群定义的伴随移民过程的基本理论和研究现状，主要内容包括：分枝粒子系统的收敛；超过程的基本正则性和极限定理；非线性微分方程；广义分枝模型；斜卷积半群和进入律；用Ｋｕｚｎｅｔｓｏｖ过程构造移民过程等。
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| 关 键 词： | 分枝过程 测度值 移民过程 D－W超过程 |
Measure-Valued Branching Processes and Immigration Processes |
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| Li Zenghu,.Measure-Valued Branching Processes and Immigration Processes[J].Advances in Mathematics,1999,28(2):105-134. |
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| Authors: | Li Zenghu |
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| Abstract: | This is a survey on the theory of measure-valued branching processes (Dawson-Watanabe superprocesses) and their associated immigration processes formulated by skew convolutionsemigroups. The following main topics are included: convergence of branching particle systems, basicregularities and limit tbeorems of superprocesses, non-linear differential equations,modifications ofthe brsoching models, skew convolution semigroups and entrance laws, construction of immigrationproresses from Kuznetsov processes. |
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| Keywords: | branching process measure-valued particle system immigration skew convolution semigroup entrance law Kuznetsov measure |
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