Large deviations for one-dimensional random walks on discrete point processes

被引：1

作者：

Zhu, Lingjiong ^{[1
]}

机构：

[1] Univ Minnesota Twin Cities, Sch Math, Minneapolis, MN 55455 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2015年 / 97卷

关键词：

Large deviations; Random walks in random environment; Discrete point processes; QUENCHED LARGE DEVIATIONS;

D O I：

10.1016/j.spl.2014.11.008

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：

Berger and Rosenthal introduced a random walk model on discrete point processes, that is, a simple random walk defined on a random subset of Z(d). In this article, we study both the quenched and the annealed large deviations for the one-dimensional case. Their rate functions are linked via a variational formula, analogous to the classical one-dimensional random walk in random environment. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：69 / 75

页数：7

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