Properties of Super-Poisson Processes and Super-Random Walks with Spatially Dependent Branching Rates  

作　　者：Yan Xia REN 

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第2期275-284,共10页数学学报（英文版）

基　　金：NNSF of China (Grant No.10471003);Foundation for Authors Awarded Excellent Ph.D.Dissertation

摘　　要：The global supports of super-Poisson processes and super-random walks with a branching mechanism ψ（z）=z^2 and constant branching rate are known to be noncompact. It turns out that, for any spatially dependent branching rate, this property remains true. However, the asymptotic extinction property for these two kinds of superprocesses depends on the decay rate of the branching-rate function at infinity.The global supports of super-Poisson processes and super-random walks with a branching mechanism ψ（z）=z^2 and constant branching rate are known to be noncompact. It turns out that, for any spatially dependent branching rate, this property remains true. However, the asymptotic extinction property for these two kinds of superprocesses depends on the decay rate of the branching-rate function at infinity.

关 键 词：super-Poisson process super-random walk global support asymptotic extinction 

分 类 号：O211.6[理学—概率论与数理统计]