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arXiv · 1212.0599

Limit theorems for random walks on a strip in subdiffusive regime

Dmitry Dolgopyat·Ilya Goldsheid
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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

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Dmitry Dolgopyat, Ilya Goldsheid. 2012-12-04. Limit theorems for random walks on a strip in subdiffusive regime. https://doi.org/10.1088/0951-7715%2F26%2F6%2F1743

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