%0 Journal Article
%T The zero-one law for planar random walks in i.i.d. random environments revisited
%A Martin P. W. Zerner
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0706.0745v1