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.

引用

页码：187 / 195

页数：9

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