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November 2008 Transient random walks on a strip in a random environment
Alexander Roitershtein
Ann. Probab. 36(6): 2354-2387 (November 2008). DOI: 10.1214/08-AOP393

Abstract

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.

Citation

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Alexander Roitershtein. "Transient random walks on a strip in a random environment." Ann. Probab. 36 (6) 2354 - 2387, November 2008. https://doi.org/10.1214/08-AOP393

Information

Published: November 2008
First available in Project Euclid: 19 December 2008

zbMATH: 1167.60023
MathSciNet: MR2478686
Digital Object Identifier: 10.1214/08-AOP393

Subjects:
Primary: 60K37
Secondary: 60F05, 60F10

Rights: Copyright © 2008 Institute of Mathematical Statistics

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Vol.36 • No. 6 • November 2008
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