Branching processes in correlated random environment

被引：0

作者：

Chen, Xinxin ^{[1
]}

Guillotin-Plantard, Nadine ^{[1
]}

机构：

[1] Univ Claude Bernard Lyon 1, CNRS UMR 5208, Inst Camille Jordan, Lyon, France

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2019年 / 24卷

关键词：

branching process; positive association; random walk;

D O I：

10.1214/19-ECP268

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 the critical branching processes in correlated random environment which is positively associated and study the probability of survival up to the n-th generation. Moreover, when the environment is given by fractional Brownian motion, we estimate also the tail of progeny as well as the tail of width.

引用

页数：13

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