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.
Citation
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
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