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2013 A Stationary, mixing and perturbative counterexample to the 0-1-law for random walk in random environment in two dimensions
Hadrian Heil
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Electron. J. Probab. 18: 1-33 (2013). DOI: 10.1214/EJP.v18-1880

Abstract

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.

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Hadrian Heil. "A Stationary, mixing and perturbative counterexample to the 0-1-law for random walk in random environment in two dimensions." Electron. J. Probab. 18 1 - 33, 2013. https://doi.org/10.1214/EJP.v18-1880

Information

Accepted: 4 January 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1286.60101
MathSciNet: MR3024095
Digital Object Identifier: 10.1214/EJP.v18-1880

Subjects:
Primary: 60F20
Secondary: 60K37

JOURNAL ARTICLE
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Vol.18 • 2013
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