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.

引用

页码：95 / 106

页数：12

共 50 条

[31] Exact Convergence Rate of the Local Limit Theorem for a Branching Random Walk in Zd with a Random Environment in Time
Liu, Jian-xin
Gao, Zhi-qiang
CHINESE ANNALS OF MATHEMATICS SERIES B, 2024, 45 (05) : 805 - 822
[32] Second and third orders asymptotic expansions for the distribution of particles in a branching random walk with a random environment in time
Gao, Zhiqiang
Liu, Quansheng
BERNOULLI, 2018, 24 (01) : 772 - 800
[33] QUENCHED INVARIANCE PRINCIPLES FOR THE MAXIMAL PARTICLE IN BRANCHING RANDOM WALK IN RANDOM ENVIRONMENT AND THE PARABOLIC ANDERSON MODEL
Cerny, Jiri
Drewitz, Alexander
ANNALS OF PROBABILITY, 2020, 48 (01) : 94 - 146
[34] Convergence of complex martingale for a branching random walk in an independent and identically distributed environment
Xin Wang
Xingang Liang
Chunmao Huang
Frontiers of Mathematics in China, 2021, 16 : 187 - 209
[35] Perturbing transient random walk in a random environment with cookies of maximal strength
Bauernschubert, Elisabeth
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2013, 49 (03): : 638 - 653
[36] Branching Diffusions in Random Environment
Boeinghoff, C.
Hutzenthaler, M.
MARKOV PROCESSES AND RELATED FIELDS, 2012, 18 (02) : 269 - 310
[37] Random walk in Markovian environment
Dolgopyat, Dmitry
Keller, Gerhard
Liverani, Carlangelo
ANNALS OF PROBABILITY, 2008, 36 (05) : 1676 - 1710
[38] The branching-ruin number as critical parameter of random processes on trees
Collevecchio, Andrea
Cong Bang Huynh
Kious, Daniel
ELECTRONIC JOURNAL OF PROBABILITY, 2019, 24
[39] Convergence of complex martingale for a branching random walk in an independent and identically distributed environment
Wang, Xin
Liang, Xingang
Huang, Chunmao
FRONTIERS OF MATHEMATICS IN CHINA, 2021, 16 (01) : 187 - 209
[40] The Local time of Simple Random Walk in Random Environment
Yueyun Hu
Zhan Shi
Journal of Theoretical Probability, 1998, 11 : 765 - 793

← 1 2 3 4 5 →