Law of Large Numbers for Branching Symmetric Hunt Processes with Measure-Valued Branching Rates

被引：0

作者：

Zhen-Qing Chen

Yan-Xia Ren

Ting Yang

机构：

[1] University of Washington,Department of Mathematics

[2] Peking University,LMAM School of Mathematical Sciences and Center for Statistical Science

[3] Beijing Institute of Technology,School of Mathematics and Statistics

[4] Beijing Key Laboratory on MCAACI,undefined

来源：

Journal of Theoretical Probability | 2017年 / 30卷

关键词：

Law of large numbers; Branching Hunt processes; Spine approach; -transform; Spectral gap; Primary 60J25 ; Secondary 60J80;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish weak and strong laws of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the branching mechanism being general and state dependent. Our work is motivated by recent work on the strong law of large numbers for branching symmetric Markov processes by Chen and Shiozawa (J Funct Anal 250:374–399, 2007) and for branching diffusions by Engländer et al. (Ann Inst Henri Poincaré Probab Stat 46:279–298, 2010). Our results can be applied to some interesting examples that are covered by neither of these papers.

引用

页码：898 / 931

页数：33

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