Perturbing transient random walk in a random environment with cookies of maximal strength

被引：6

作者：

Bauernschubert, Elisabeth ^{[1
]}

机构：

[1] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2013年 / 49卷 / 03期

关键词：

Excited random walk in a random environment; Cookies of strength 1; Recurrence; Transience; Subcritical branching process in a random environment with immigration; EXCITED RANDOM-WALKS; BRANCHING-PROCESSES;

D O I：

10.1214/12-AIHP479

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 left-transient random walk in a random environment on Z that will be disturbed by cookies inducing a drift to the right of strength 1. The number of cookies per site is i.i.d. and independent of the environment. Criteria for recurrence and transience of the random walk are obtained. For this purpose we use subcritical branching processes in random environments with immigration and formulate criteria for recurrence and transience for these processes.

引用

页码：638 / 653

页数：16

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