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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorSalvi, Michele
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorSimenhaus, François
dc.date.accessioned2019-09-24T14:08:57Z
dc.date.available2019-09-24T14:08:57Z
dc.date.issued2018
dc.identifier.issn0022-4715
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/19910
dc.language.isoenen
dc.subjectRandom walken
dc.subjectDynamic random environmenten
dc.subjectInterchange processen
dc.subjectLimit theoremsen
dc.subjectRenormalisationen
dc.subject.ddc519en
dc.titleRandom Walk on a Perturbation of the Infinitely-Fast Mixing Interchange Processen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider a random walk in dimension d≥1 in a dynamic random environment evolving as an interchange process with rate γ>0. We prove that, if we choose γ large enough, almost surely the empirical velocity of the walker Xt/t eventually lies in an arbitrary small ball around the annealed drift. This statement is thus a perturbation of the case γ=+∞ where the environment is refreshed between each step of the walker. We extend three-way part of the results of Huveneers and Simenhaus (Electron J Probab 20(105):42, 2015), where the environment was given by the 1-dimensional exclusion process: (i) We deal with any dimension d≥1; (ii) We treat the much more general interchange process, where each particle carries a transition vector chosen according to an arbitrary law μ; (iii) We show that Xt/t is not only in the same direction of the annealed drift, but that it is also close to it.en
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnlvol171en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2018-03
dc.relation.isversionofjnlpages656-678en
dc.relation.isversionofdoi10.1007/s10955-018-2015-zen
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-09-24T14:03:25Z
hal.author.functionaut
hal.author.functionaut


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