One-dimensional branching random walks in a Markovian random environment

被引：13
|
作者：
Machado, FP
Popov, SY
机构：
[1] Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508900 Sao Paulo, Brazil
[2] Russian Acad Sci, Inst Problems Informat Transmiss, Moscow 101447, Russia
来源：
JOURNAL OF APPLIED PROBABILITY | 2000年 / 37卷 / 04期
关键词：
branching random walk; random environment; strong transience; strong recurrence;
D O I：
10.1017/S0021900200018350
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 study a one-dimensional supercritical branching random walk in a non-i.i.d. random environment, which considers both the branching mechanism and the step transition. This random environment is constructed using a recurrent Markov chain on a finite or countable state space. Criteria of (strong) recurrence and transience are presented for this model.
引用
收藏
页码：1157 / 1163
页数：7
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