@article{ECP1314,
author = {Martin Zerner},
title = {The zero-one law for planar random walks in i.i.d. random environments revisited},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {12},
year = {2007},
keywords = {Random environment, random walk, RWRE, transience, zero-one law},
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.},
pages = {no. 32, 326-335},
issn = {1083-589X},
doi = {10.1214/ECP.v12-1314},
url = {http://ecp.ejpecp.org/article/view/1314}}