Almost sure estimates for the concentration neighborhood of Sinai’s walk |
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Authors: | Pierre Andreoletti |
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Institution: | Université d’Orteans, France |
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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. |
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Keywords: | 60G50 60J55 |
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