Random Walks in Varying Dimensions
Probability
2007-05-23 v1
Abstract
We establish recurrence criteria for sums of independent random variables which take values in Euclidean lattices of varying dimension. In particular, we describe transient inhomogenous random walks in the plane which interlace two symmetric step distributions of bounded support.
Cite
@article{arxiv.math/0404085,
title = {Random Walks in Varying Dimensions},
author = {Itai Benjamini and Robin Pemantle and Yuval Peres},
journal= {arXiv preprint arXiv:math/0404085},
year = {2007}
}
Comments
16 pages