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Einstein relation for biased random walk on Galton-Watson trees

dc.contributor.authorBen Arous, Gérard
dc.contributor.authorHu, Yueyun
dc.contributor.authorOlla, Stefano
HAL ID: 18345
ORCID: 0000-0003-0845-1861
dc.contributor.authorZeitouni, Ofer
dc.date.accessioned2012-01-12T11:51:57Z
dc.date.available2012-01-12T11:51:57Z
dc.date.issued2013
dc.identifier.issn0246-0203
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/7868
dc.language.isoenen
dc.subjectEinstein relation
dc.subjectGalton-Watson Trees
dc.subjectLinear Response
dc.subject.ddc519en
dc.titleEinstein relation for biased random walk on Galton-Watson trees
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherCourant Institute of Mathematical Science (CIMS) http://www.cims.nyu.edu New York University;États-Unis
dc.contributor.editoruniversityotherWeizmann Institute for Science http://www.wisdom.weizmann.ac.il/ Weizmann Institute for Science;Islande
dc.contributor.editoruniversityotherLaboratoire d'Analyse, Géométrie et Applications (LAGA) http://www.math.univ-paris13.fr/laga/ CNRS : UMR7539 – Université Paris XIII - Paris Nord;France
dc.contributor.editoruniversityotherMICMAC (INRIA Paris - Rocquencourt) Ecole des Ponts ParisTech – INRIA;France
dc.description.abstractenWe prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton--Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrary deep traps.
dc.relation.isversionofjnlnameAnnales de l'I.H.P. Probabilités et Statistiques
dc.relation.isversionofjnlvol49
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2013
dc.relation.isversionofjnlpages698-721
dc.relation.isversionofdoihttp://dx.doi.org/10.1214/12-AIHP486
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherGauthier-Villars
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-09-11T15:09:10Z


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