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arxiv: math/0404085 · v1 · submitted 2004-04-05 · 🧮 math.PR

Random Walks in Varying Dimensions

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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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