Hitting times for special patterns in the symmetric exclusion process on Z^d

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dc.creatorAsselah, Amine
dc.creatorPra, Paolo Dai
dc.date2003-09-10
dc.date2005-04-06
dc.date.accessioned2026-07-07T05:01:01Z
dc.date.available2026-07-07T05:01:01Z
dc.descriptionWe consider the symmetric exclusion process {η_t,t>0} on {0,1}^{Z^d}. We fix a pattern A:={η:\sum_Λη(i)\ge k}, where Λis a finite subset of Z^d and k is an integer, and we consider the problem of establishing sharp estimates for τ, the hitting time of A. We present a novel argument based on monotonicity which helps in some cases to obtain sharp tail asymptotics for τin a simple way. Also, we characterize the trajectories {η_s,s\le t} conditioned on {τ>t}.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000000487 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0309182
dc.identifierhttp://arxiv.org/abs/math/0309182
dc.identifierAnnals of Probability 2004, Vol. 32, No. 4, 3301-3323
dc.identifierdoi:10.1214/009117904000000487
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68531
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35, 82C22, 60J25. (Primary)
dc.titleHitting times for special patterns in the symmetric exclusion process on Z^d
dc.typetext

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