Limit Theorems for the Minimal Position of a Branching Random Walk in Random Environment

被引：0

作者：

Zhang, Xiaoyue ^{[1
]}

Hou, Wanting ^{[2
]}

Hong, Wenming ^{[3
,4
]}

机构：

[1] Capital Univ Econ & Business, Sch Stat, Beijing 100070, Peoples R China

[2] Northeastern Univ, Dept Math, Shenyang 110004, Peoples R China

[3] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[4] Beijing Normal Univ, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

MARKOV PROCESSES AND RELATED FIELDS | 2020年 / 26卷 / 05期

关键词：

random walk in random environment; branching random walk; branching process; minimal position; DISPLACEMENT; SYSTEM;

D O I：

暂无

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 branching system of N-valued random walks with a random environment in location. We will give the exact limit value of M-n/n, where M-n denotes the minimal position of the branching random walk at time n. A key step in the proof is to transfer our branching random walks with a random environment in location to branching random walks with a random environment in time, by use of Bramson's "branching processes within a branching process" (1978).

引用

页码：839 / 860

页数：22

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