The zero-one law for planar random walks in i.i.d. random environments revisited

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dc.creatorZerner, Martin P. W.
dc.date2007-06-05
dc.date.accessioned2026-07-07T08:04:18Z
dc.date.available2026-07-07T08:04:18Z
dc.descriptionIn 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0706.0745
dc.identifierhttp://arxiv.org/abs/0706.0745
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129905
dc.subjectProbability
dc.subjectPrimary 60K37, secondary 60F20.
dc.titleThe zero-one law for planar random walks in i.i.d. random environments revisited
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