Shape transition under excess self-intersections for transient random walk

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dc.creatorAsselah, Amine
dc.date2008-04-16
dc.date2009-03-14
dc.date.accessioned2026-07-07T12:52:01Z
dc.date.available2026-07-07T12:52:01Z
dc.descriptionWe reveal a shape transition for a transient simple random walk forced to realize an excess $q$-norm of the local times, as the parameter $q$ crosses the value $q_c(d)=\frac{d}{d-2}$. Also, as an application of our approach, we establish a central limit theorem for the $q$-norm of the local times in dimension 4 or more.
dc.description35 pages. Final revised version
dc.identifierhttps://arxiv.org/abs/0804.2616
dc.identifierhttp://arxiv.org/abs/0804.2616
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223172
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35;82C22;60J25
dc.titleShape transition under excess self-intersections for transient random walk
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