Alternative proof for the localization of Sinai's walk

Details Alternative proof for the localization of Sinai's walk Alternative proof for the localization of Sinai's walk

2005-01-26

arxiv.org/abs/math/0501467v1

Mathematics

Probability

Scientific paper

10.1007/s10955-004-2122-x

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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