A quenched functional central limit theorem for random walks in random environments under (T)γ

被引：5

作者：

Bouchet, Elodie ^{[1
]}

Sabot, Christophe ^{[1
]}

dos Santos, Renato Soares ^{[2
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, CNRS UMR 5208, 43,Blvd 11 Novembre 1918, F-69622 Villeurbanne, France

[2] WIAS, Mohrenstr 39, D-10117 Berlin, Germany

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2016年 / 126卷 / 04期

关键词：

Random walk in random environment; Quenched central limit theorem; Ballisticity condition; DIRICHLET ENVIRONMENT; BALLISTICITY; RWRE;

D O I：

10.1016/j.spa.2015.10.015

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 prove a quenched central limit theorem for random walks in i.i.d. weakly elliptic random environments in the ballistic regime. Such theorems have been proved recently by Rassoul-Agha and Seppalainen in Rassoul-Agha and Seppalainen (2009) and Berger and Zeitouni in Berger and Zeitouni (2008) under the assumption of large finite moments for the regeneration time. In this paper, with the extra (T)(gamma) condition of Sznitman we reduce the moment condition to E(tau(2)(ln tau)(1+m)) < +infinity for m > 1 + 1/gamma, which allows the inclusion of new non-uniformly elliptic examples such as Dirichlet random environments. (C) 2016 Published by Elsevier B.V.

引用

页码：1206 / 1225

页数：20

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