Critical survival barrier for branching random walk

被引：1

作者：

Liu, Jingning ^{[1
]}

Zhang, Mei ^{[1
,2
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sciences, Chongqing, Peoples R China

[2] Beijing Normal Univ, Sch Math Sciences, Lab Math, Complex Syst, Beijing, Beijing, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2019年 / 14卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Branching random walk; alpha-stable spine; absorption; critical barrier;

D O I：

10.1007/s11464-019-0806-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a branching random walk with an absorbing barrier, where the associated one-dimensional random walk is in the domain of attraction of an alpha-stable law. We shall prove that there is a barrier and a critical value such that the process dies under the critical barrier, and survives above it. This generalizes previous result in the case that the associated random walk has finite variance.

引用

页码：1259 / 1280

页数：22

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