BRANCHING BROWNIAN MOTION WITH SPATIALLY HOMOGENEOUS AND POINT-CATALYTIC BRANCHING

被引：5

作者：

Bocharov, Sergey ^{[1
]}

Wang, Li ^{[2
]}

机构：

[1] Zhejiang Univ, Dept Math, Zheda Rd, Hangzhou 310027, Zhejiang, Peoples R China

[2] Beijing Univ Chem Technol, Sch Sci, Beijing, Peoples R China

来源：

JOURNAL OF APPLIED PROBABILITY | 2019年 / 56卷 / 03期

关键词：

Branching Brownian motion; local times; LIMIT-THEOREM; FRONTIER; EQUATION;

D O I：

10.1017/jpr.2019.51

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider a model of branching Brownian motion in which the usual spatially homogeneous branching and catalytic branching at a single point are simultaneously present. We establish the almost sure growth rates of population in certain time-dependent regions and as a consequence the first-order asymptotic behaviour of the rightmost particle.

引用

页码：891 / 917

页数：27

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