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dc.contributor.authorVargas, Vincent
dc.contributor.authorRhodes, Rémi
dc.contributor.authorJin, Xiong
dc.contributor.authorBarral, Julien
dc.date.accessioned2012-02-29T14:43:01Z
dc.date.available2012-02-29T14:43:01Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/8331
dc.language.isoenen
dc.subjectHausdorff dimensionen
dc.subjectGaussian free fielden
dc.subjectLiouville quantum gravityen
dc.subjectdualityen
dc.subjectKPZ formulaen
dc.subjectGaussian multiplicative chaosen
dc.subject.ddc519en
dc.titleGaussian multiplicative chaos and KPZ dualityen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherMathematics Institute University of St Andrews;Royaume-Uni
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.description.abstractenThis paper is concerned with the KPZ formula. On the first hand, we give a simplified (in comparison with the existing literature) proof of the classical KPZ formula. On the other hand, we construct purely atomic random measures corresponding to values of the parameter $\gamma^2$ beyond the transition phase (i.e. $\gamma^2>2d$). We prove the dual KPZ formula for these measures and check the duality relation. In particular, this framework allows to construct singular Liouville measures and to understand the duality relation in Liouville quantum gravity.en
dc.relation.isversionofjnlnameCommunications in Mathematical Physics
dc.relation.isversionofjnlvol323
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2013
dc.relation.isversionofjnlpages451-485
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00220-013-1769-z
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00673629en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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