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Universality of cutoff for exclusion with reservoirs

dc.contributor.authorSalez, Justin
dc.date.accessioned2023-01-16T11:44:07Z
dc.date.available2023-01-16T11:44:07Z
dc.date.issued2023
dc.identifier.issn091-1798
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/23731
dc.language.isoenen
dc.subjectCutoff phenomenon
dc.subjectExclusion process
dc.subjectmixing time
dc.subjectNegative dependence
dc.subject.ddc519en
dc.titleUniversality of cutoff for exclusion with reservoirs
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider the exclusion process with reservoirs on arbitrary networks. We characterize the spectral gap, mixing time, and mixing window of the process, in terms of certain simple spectral statistics of the underlying network. Among other consequences we establish a nonconservative analogue of Aldous’s spectral gap conjecture, and we show that cutoff occurs if and only if the product condition is satisfied. We illustrate this by providing explicit cutoffs on discrete lattices of arbitrary dimensions and boundary conditions which substantially generalize recent one-dimensional results. We also obtain cutoff phenomena in relative entropy, Hilbert norm, separation distance, and supremum norm. Our proof exploits negative dependence in a novel, simple way to reduce the understanding of the whole process to that of single-site marginals. We believe that this approach will find other applications.
dc.publisher.cityParisen
dc.relation.isversionofjnlnameAnnals of Probability
dc.relation.isversionofjnlvol51
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2023
dc.relation.isversionofjnlpages478 - 494
dc.relation.isversionofdoi10.1214/22-AOP1600
dc.relation.isversionofjnlpublisherInstitute of Mathematical Statistics
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2023-03-23T12:51:53Z


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