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

Pierre Andreoletti

Stochastic Processes and their Applications, 2007, vol. 117, issue 10, 1473-1490

Abstract: 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.

Keywords: Random; environment; Random; walk; Sinai's; regime; Local; time; Concentration (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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