Quenched tail estimate for the random walk in random scenery and in random layered conductance II
Quenched tail estimate for the random walk in random scenery and in random layered conductance II
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DOI：
10.1214/20-ejp478
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发表时间：
2020
影响因子：
1.4
通讯作者：
J. Deuschel;Ryoki Fukushima
中科院分区：
文献类型：
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作者：
J. Deuschel;Ryoki Fukushima
这是我们早期工作的延续[随机过程及其应用，129（1），pp.102-128，2019]关于随机场景和随机分层电导中的随机行走。我们完成了图片的上偏差的随机游动在随机风景，也证明了一个界的下偏差概率。基于这些结果，我们确定了随机分层电导中随机游动的返回概率、一定的中等偏差概率和绿色函数的渐近性。
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.