The zero-one law for planar random walks in i.i.d. random environments revisited
Probability
2007-06-07 v1
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.
Keywords
Cite
@article{arxiv.0706.0745,
title = {The zero-one law for planar random walks in i.i.d. random environments revisited},
author = {Martin P. W. Zerner},
journal= {arXiv preprint arXiv:0706.0745},
year = {2007}
}
Comments
9 pages