Abstract
We prove a zero or one law for one dimensional random walks in random environments for which the probability of making jumps of size $n$ decays exponentially. As an application we conclude that these random walks are recurrent if the distribution of the random environment is symmetric.
Citation
Enrique D. Andjel. "A Zero or One Law for One Dimensional Random Walks in Random Environments." Ann. Probab. 16 (2) 722 - 729, April, 1988. https://doi.org/10.1214/aop/1176991783
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