Limit theorems for random walks on a strip in subdiffusive regime
Probability
2015-06-12 v1
Abstract
We study the asymptotic behaviour of occupation times of a transient random walk in quenched random environment on a strip in a sub-diffusive regime. The asymptotic behaviour of hitting times, which is a more traditional object of study, is the exactly same. As a particular case, we solve a long standing problem of describing the asymptotic behaviour of a random walk with bounded jumps on a one-dimensional lattice
Cite
@article{arxiv.1212.0599,
title = {Limit theorems for random walks on a strip in subdiffusive regime},
author = {Dmitry Dolgopyat and Ilya Goldsheid},
journal= {arXiv preprint arXiv:1212.0599},
year = {2015}
}