13 citations · 26 across the 15 of their papers we have counts for
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math.PR2005★ 13 cited
Alternative proof for the localization of Sinai's walk
Pierre Andreoletti
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 a…
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…