## Annals of Probability

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

Alexander Roitershtein

#### 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.

#### Article information

Source
Ann. Probab., Volume 36, Number 6 (2008), 2354-2387.

Dates
First available in Project Euclid: 19 December 2008

https://projecteuclid.org/euclid.aop/1229696606

Digital Object Identifier
doi:10.1214/08-AOP393

Mathematical Reviews number (MathSciNet)
MR2478686

Zentralblatt MATH identifier
1167.60023

#### Citation

Roitershtein, Alexander. Transient random walks on a strip in a random environment. Ann. Probab. 36 (2008), no. 6, 2354--2387. doi:10.1214/08-AOP393. https://projecteuclid.org/euclid.aop/1229696606

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