On the Dirichlet problem for asymmetric zero-range process on increasing domains

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dc.creatorAsselah, Amine
dc.date2003-09-10
dc.date.accessioned2026-07-07T05:01:01Z
dc.date.available2026-07-07T05:01:01Z
dc.descriptionWe characterize the principal eigenvalue of the generator of the asymmetric zero-range process in dimensions d>2, with Dirichlet boundary on special domains. We obtain a Donsker-Varadhan variational representation for the principal eigenvalue, and show that the corresponding eigenfunction is unique in a natural class of functions. This allows us to obtain asymptotic hitting time estimates.
dc.description33 pages http://www.cmi.univ-mrs.fr/~asselah
dc.identifierhttps://arxiv.org/abs/math/0309181
dc.identifierhttp://arxiv.org/abs/math/0309181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68530
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35(Primary)82C22,60J25(Secondary)
dc.titleOn the Dirichlet problem for asymmetric zero-range process on increasing domains
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