Abstract
We give an alternative proof of the localization of Sinai’s random walk in random environment under weaker hypothesis than the ones used by Sinai. Moreover, we give estimates that are stronger than the one of Sinai on the localization neighborhood and on the probability for the random walk to stay inside this neighborhood.
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Andreoletti, P. Alternative Proof for the Localization of Sinai’s Walk. J Stat Phys 118, 883–933 (2005). https://doi.org/10.1007/s10955-004-2122-x
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DOI: https://doi.org/10.1007/s10955-004-2122-x