Precise large deviations for random walk in random environment

被引：10

作者：

Buraczewski, Dariusz ^{[1
]}

Dyszewski, Piotr ^{[1
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, Plac Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2018年 / 23卷

关键词：

random walk in random environment; large deviations; branching process with immigration; DIMENSIONAL RANDOM-WALK; EQUATIONS; TIMES;

D O I：

10.1214/18-EJP239

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 study one-dimensional nearest neighbour random walk in site-dependent random environment. We establish precise (sharp) large deviations in the so-called ballistic regime, when the random walk drifts to the right with linear speed. In the sub-ballistic regime, when the speed is sublinear, we describe the precise probability of slowdown.

引用

页数：26

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