LOCAL LIMIT THEOREM AND EQUIVALENCE OF DYNAMIC AND STATIC POINTS OF VIEW FOR CERTAIN BALLISTIC RANDOM WALKS IN IID ENVIRONMENTS

被引：10

作者：

Berger, Noam ^{[1
,2
]}

Cohen, Moran

Rosenthal, Ron ^{[3
]}

机构：

[1] Hebrew Univ Jerusalem, Einstein Inst Math, Edmond J Safra Campus, IL-9190401 Jerusalem, Israel

[2] Tech Univ Munich, Munich, Germany

[3] ETH, Dept Math, Grp 3,HG E 66-2,Ramistr 101, CH-8092 Zurich, Switzerland

来源：

ANNALS OF PROBABILITY | 2016年 / 44卷 / 04期

基金：

欧洲研究理事会;

关键词：

Random walks in random environments; ballisticity; equivalence of static and dynamic points of view; QUENCHED INVARIANCE-PRINCIPLE; LARGE NUMBERS; PERCOLATION; LAW; BEHAVIOR; PARTICLE;

D O I：

10.1214/15-AOP1038

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：

In this work, we discuss certain ballistic random walks in random environments on Z(d), and prove the equivalence between the static and dynamic points of view in dimension d >= 4. Using this equivalence, we also prove a version of a local limit theorem which relates the local behavior of the quenched and annealed measures of the random walk by a prefactor.

引用

页码：2889 / 2979

页数：91

共 29 条

[1] Asymptotic behaviour for random walks in random environments [J].