Random walks in a Dirichlet environment

被引：0

作者：

Enriquez, Nathanael

Sabot, Christophe

机构：

[1] Lab Probabil Paris 6, F-75252 Paris 05, France

[2] Univ Lyon 1, Inst Camille Jordan, F-69622 Villeurbanne, France

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2006年 / 11卷

关键词：

random walks; random environments; Dirichlet laws; reinforced random walks;

D O I：

暂无

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：

This paper states a law of large numbers for a random walk in a random iid environment on Z(d), where the environment follows some Dirichlet distribution. Moreover, we give explicit bounds for the asymptotic velocity of the process and also an asymptotic expansion of this velocity at low disorder.

引用

页码：802 / 816

页数：15

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