arXiv:1203.3121 Abstract | arXiv Analytics

arXiv:1203.3121 [math.PR]Abstract References Reviews Resources

A Stationary, Mixing and Perturbative Counterexample to the 0-1-law for Random Walk in Random Environment in Two Dimensions

Published 2012-03-14Version 1

We construct a two-dimensional counterexample of a random walk in random environment (RWRE). The environment is stationary, mixing and perturbative, and the corresponding RWRE has non-trivial probability to wander off to the upper right. This is in contrast to the 0-1-law that holds for i.i.d.\ environments.

Categories: math.PR

Subjects: 60F20, 60K37

Keywords: random environment, random walk, perturbative counterexample, stationary, dimensions

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