Upper limits of Sinai's walk in random scenery

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dc.creatorZindy, Olivier
dc.date2006-10-10
dc.date2007-11-08
dc.date.accessioned2026-07-07T08:41:27Z
dc.date.available2026-07-07T08:41:27Z
dc.descriptionWe consider Sinai's walk in i.i.d. random scenery and focus our attention on a conjecture of Révész \cite{r05} concerning the upper limits of Sinai's walk in random scenery when the scenery is bounded from above. A close study of the competition between the concentration property for Sinai's walk and negative values for the scenery enables us to prove that the conjecture is true if the scenery has "thin" negative tails and is false otherwise.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0610326
dc.identifierhttp://arxiv.org/abs/math/0610326
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141678
dc.subjectProbability
dc.subject60K37, 60G50, 60J55
dc.titleUpper limits of Sinai's walk in random scenery
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