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2007 The zero-one law for planar random walks in i.i.d. random environments revisited
Martin Zerner
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Electron. Commun. Probab. 12: 326-335 (2007). DOI: 10.1214/ECP.v12-1314

Abstract

In this note we present a simplified proof of the zero-one law by Merkl and Zerner (2001) for directional transience of random walks in i.i.d. random environments (RWRE) on the square lattice. Also, we indicate how to construct a two-dimensional counterexample in a non-uniformly elliptic and stationary environment which has better ergodic properties than the example given by Merkl and Zerner.

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Martin Zerner. "The zero-one law for planar random walks in i.i.d. random environments revisited." Electron. Commun. Probab. 12 326 - 335, 2007. https://doi.org/10.1214/ECP.v12-1314

Information

Accepted: 5 October 2007; Published: 2007
First available in Project Euclid: 6 June 2016

zbMATH: 1128.60090
MathSciNet: MR2342711
Digital Object Identifier: 10.1214/ECP.v12-1314

Subjects:
Primary: 60K37
Secondary: 60F20

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