Mathematics – Probability
Scientific paper
2005-01-26
Mathematics
Probability
Scientific paper
We consider Sinai's random walk in random environment. We prove that for an
interval of time [1,n] Sinai's walk sojourns in a small neighborhood of the
point of localization for the quasi totality of this amount of time. Moreover
the local time at the point of localization normalized by $n$ converges in
probability to a well defined random variable of the environment.
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