Limit theorems for random walks on a strip in subdiffusive regime

Dmitry Dolgopyat, Ilya Goldsheid

Published 2012-12-04Version 1

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