Transient random walks on a strip in a random environment

Details Transient random walks on a strip in a random environment Transient random walks on a strip in a random environment

2006-03-16

arxiv.org/abs/math/0603392v2

Annals of Probability 2008, Vol. 36, No. 6, 2354-2387

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/08-AOP393 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/08-AOP393

We consider transient random walks on a strip in a random environment. The model was introduced by Bolthausen and Goldsheid [Comm. Math. Phys. 214 (2000) 429--447]. We derive a strong law of large numbers for the random walks in a general ergodic setup and obtain an annealed central limit theorem in the case of uniformly mixing environments. In addition, we prove that the law of the "environment viewed from the position of the walker" converges to a limiting distribution if the environment is an i.i.d. sequence.

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