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2005 A Log-scale Limit Theorem for One-dimensional Random Walks in Random Environments
Alexander Roitershtein
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Electron. Commun. Probab. 10: 244-253 (2005). DOI: 10.1214/ECP.v10-1164

Abstract

We consider a transient one-dimensional random walk $X_n$ in random environment having zero asymptotic speed. For a class of non-i.i.d. environments we show that $\log X_n / \log n$ converges in probability to a positive constant.

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Alexander Roitershtein. "A Log-scale Limit Theorem for One-dimensional Random Walks in Random Environments." Electron. Commun. Probab. 10 244 - 253, 2005. https://doi.org/10.1214/ECP.v10-1164

Information

Accepted: 13 December 2005; Published: 2005
First available in Project Euclid: 4 June 2016

zbMATH: 1111.60082
MathSciNet: MR2198599
Digital Object Identifier: 10.1214/ECP.v10-1164

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