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.
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页数：26
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