Quenched tail estimate for the random walk in random scenery and in random layered conductance II

被引：3

作者：

Deuschel, Jean-Dominique ^{[1
]}

Fukushima, Ryoki ^{[2
,3
]}

机构：

[1] Tech Univ Berlin, Inst Math, Berlin, Germany

[2] Kyoto Univ, Res Inst Math Sci, Kyoto, Japan

[3] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki, Japan

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2020年 / 25卷

关键词：

random walk; random scenery; spectral dimension; random conductance model; layered media; INVARIANCE-PRINCIPLE; LARGE DEVIATIONS; LIFSHITZ TAIL; LIMIT-THEOREM; SURVIVAL; ASYMPTOTICS; MODEL;

D O I：

10.1214/20-EJP478

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：

This is a continuation of our earlier work [Stochastic Processes and their Applications, 129(1), pp.102-128, 2019] on the random walk in random scenery and in random layered conductance. We complete the picture of upper deviation of the random walk in random scenery, and also prove a bound on lower deviation probability. Based on these results, we determine asymptotics of the return probability, a certain moderate deviation probability, and the Green function of the random walk in random layered conductance.

引用

页码：1 / 28

页数：28

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