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Random Walks in Varying Dimensions

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arxiv math/0404085 v1 pith:46236K6R submitted 2004-04-05 math.PR

Itai Benjamini , Robin Pemantle , Yuval Peres This is my paper · ORCID
classification math.PR
keywords randomvaryingwalksboundedcriteriadescribedimensiondimensions
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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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