Asymptotic of the Heat Kernel in General Benedicks Domains

Simple item page
dc.creatorCollet, P.
dc.creatorMartinez, S.
dc.creatorMartin, J. San
dc.date2002-03-07
dc.date.accessioned2026-07-07T04:46:53Z
dc.date.available2026-07-07T04:46:53Z
dc.descriptionUsing a new inequality relating the heat kernel and the probability of survival, we prove asymptotic ratio limit theorems for the heat kernel (and survival probability) in general Benedicks domains. In particular, the dimension of the cone of positive harmonic measures with Dirichlet boundary condition can be derived from the rate of convergence to zero of the heat kernel (or the survival probability).
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0203068
dc.identifierhttp://arxiv.org/abs/math/0203068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63513
dc.subjectProbability
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject60J65; 31B05
dc.titleAsymptotic of the Heat Kernel in General Benedicks Domains
dc.typetext

Files

Collections

arXiv