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The Infinite Atlas Process: Convergence to Equilibrium

hal.structure.identifierDepartment of Statistics [Stanford]
dc.contributor.authorDembo, Amir
hal.structure.identifierInstituto Nacional de Matemática Pura e Aplicada [IMPA]
dc.contributor.authorJara, Milton
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorOlla, Stefano
HAL ID: 18345
ORCID: 0000-0003-0845-1861
dc.date.accessioned2018-09-12T10:24:32Z
dc.date.available2018-09-12T10:24:32Z
dc.date.issued2018
dc.identifier.issn0246-0203
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18000
dc.language.isoenen
dc.subjectinfinite Atlas processen
dc.subjectInteracting particlesen
dc.subjectreflecting Brownian motionsen
dc.subjectnon-equilibrium hydrodynamicsen
dc.subject.ddc519en
dc.titleThe Infinite Atlas Process: Convergence to Equilibriumen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe semi-infinite Atlas process is a one-dimensional system of Brownian particles, where only the leftmost particle gets a unit drift to the right. Its particle spacing process has infinitely many stationary measures, with one distinguished translation invariant reversible measure. We show that the latter is attractive for a large class of initial configurations of slowly growing (or bounded) particle densities. Key to our proof is a new estimate on the rate of convergence to equilibrium for the particle spacing in a triangular array of finite, large size systems.en
dc.relation.isversionofjnlnameAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
dc.relation.isversionofjnldate2018
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01584723en
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingouien
dc.relation.forthcomingprintouien
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2018-07-26T11:59:01Z
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