On large deviations of the moment of attaining far level by the random walk in a random environment

被引：0
|
作者：
Bakay, Gavriil A. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
来源：
DISCRETE MATHEMATICS AND APPLICATIONS | 2024年 / 34卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
local theorems; large deviatios; random walks in random environment; DIMENSIONAL RANDOM-WALK; THEOREMS;
D O I：
10.1515/dma-2024-0015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove local limit theorems on large deviations for the moment T-n of attaining the level n is an element of N by the random walk in a random environment. Exact asymptotics of probabilities P(T-n = k) are obtained for values of the parameter k corresponding to the large deviations zone.
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页码：187 / 195
页数：9
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