Supercritical branching Brownian motion with catalytic branching at the origin

被引：0
|
作者：
Li Wang [1 ]
Guowei Zong [2 ]
机构：
[1] School of Sciences, Beijing University of Chemical Technology
[2] School of Public Health, Tianjin Medical University
来源：
ScienceChina(Mathematics) | 2020年 / 63卷 / 03期
基金：
中国国家自然科学基金;
关键词：
catalytic branching; Brownian motion; L log L;
D O I：
暂无
中图分类号：
O211.6 [随机过程]; O643.3 [催化];
学科分类号：
020208 ; 070103 ; 0714 ; 081705 ;
摘要：
We consider a catalytic branching Brownian motion with general branching which takes place only when particles are at the origin at a rate β>0 on the local time scale. We first establish a spine decomposition for the case wherein the particles have a positive probability of having no children. Then using this tool, we obtain results regarding the asymptotic behavior of the number of particles above λt at time t for λ>0. Under an L log L condition, we prove a strong law of large numbers for this catalytic branching Brownian motion.
引用
收藏
页码：595 / 616
页数：22
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