Branching random walk in random environment on trees

被引：12
|
作者：
Machado, FP [1 ]
Popov, SY [1 ]
机构：
[1] Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo, Brazil
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2003年 / 106卷 / 01期
关键词：
random environment; transience; recurrence;
D O I：
10.1016/S0304-4149(03)00039-5
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 supercritical branching random walk on a rooted tree with random environment. We are interested in the case where both the branching and the step transition parameters are random quantities. Criteria of (strong) recurrence and (strong) transience are presented for this model. (C) 2003 Elsevier Science B.V. All rights reserved.
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页码：95 / 106
页数：12
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