Random Walks in Varying Dimensions

2004/04/05 by Itai Benjamini, Robin Pemantle, Yuval Peres · 1 citation
Mathematics · #math.PR

paper · pdf

published as J. Theor. Prob., 9, 231 - 244 (1996) · 16 pages

arxiv created 2004/04/05 · arxiv updated 2009/12/01

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.

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