On the limiting velocity of random walks in mixing random environment

被引：2
|
作者：
Guo, Xiaoqin
机构：
[1] Boltzmannstr. 3
来源：
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2014年 / 50卷 / 02期
关键词：
Random walks; Random environment; Mixing; Limiting speed; Conditional law of large numbers; ZERO-ONE LAW; LARGE NUMBERS;
D O I：
10.1214/12-AIHP534
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 random walks in strong-mixing random Gibbsian environments in Z(d),d >= 2. Based on regeneration arguments, we will first provide an alternative proof of Rassoul-Agha's conditional law of large numbers (CLLN) for mixing environment (Electron. Commun. Probab. 10 (2005) 36-44). Then, using coupling techniques, we show that there is at most one nonzero limiting velocity in high dimensions (d >= 5).
引用
收藏
页码：375 / 402
页数：28
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