Self-Intersection Times for Random Walk, and Random Walk in Random Scenery in dimensions d>4

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dc.creatorAsselah, Amine
dc.creatorCastell, Fabienne
dc.date2005-09-30
dc.date2005-10-19
dc.date.accessioned2026-07-07T06:43:10Z
dc.date.available2026-07-07T06:43:10Z
dc.descriptionWe consider Random Walk in Random Scenery, denoted $X_n$, where the random walk is symmetric on $Z^d$, with $d>4$, and the random field is made up of i.i.d random variables with a stretched exponential tail decay, with exponent $α$ with $1<α$. We present asymptotics for the probability, over both randomness, that $\{X_n>n^β\}$ for $1/2<β<1$. To obtain such asymptotics, we establish large deviations estimates for the the self-intersection local times process.
dc.description26 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0509721
dc.identifierhttp://arxiv.org/abs/math/0509721
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102312
dc.subjectProbability
dc.subject60K37,60F10,60J55
dc.titleSelf-Intersection Times for Random Walk, and Random Walk in Random Scenery in dimensions d>4
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