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.
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页码：1 / 28
页数：28
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