Quenched tail estimate for the random walk in random scenery and in random layered conductance II
Probability
2020-07-07 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1905.09410,
title = {Quenched tail estimate for the random walk in random scenery and in random layered conductance II},
author = {Jean-Dominique Deuschel and Ryoki Fukushima},
journal= {arXiv preprint arXiv:1905.09410},
year = {2020}
}
Comments
31 pages, 2 figures. Local central limit theorem and the Green function result are corrected. Some new remarks added