Almost sure estimates for the concentration neighborhood of Sinai's walk

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:117

Article

Andreoletti, Pierre

关键词: random environment;    random walk;    Sinai's regime;    local time;    concentration;   

DOI  :  10.1016/j.spa.2007.02.002

来源: Elsevier

【 摘 要 】

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 bounded almost surely. We also get that i.o. the maximal distance between two favorite sites is bounded almost surely. (C) 2007 Published by Elsevier B.V.

【 授权许可】

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