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math.PR2005
On the concentration of Sinai's walk
Pierre Andreoletti
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 th…
math.PR2005★ 2 cited
Almost sure estimates for the concentration neighborhood of Sinai's walk
Pierre Andreoletti
We consider Sinai's random walk in random environment. We prove that infinitely often (i.o.) the size of the concentration neighborhood of this random walk is almost surely bounded…