Persistence exponent for random walk on directed versions of $Z^2$

Abstract

We study the persistence exponent for random walks in random sceneries (RWRS) with integer values and for some special random walks in random environment in ${\mathbb{Z}}^2$ including random walks in ${\mathbb{Z}}^2$ with random orientations of the horizontal layers.

19 pages

References in corpus (5)

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• Persistence probabilities \& exponents
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• Persistence exponent for discrete-time, time-reversible processes