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dc.contributor.authorVargas, Vincent
dc.contributor.authorRhodes, Rémi
dc.date.accessioned2013-05-07T09:51:41Z
dc.date.available2013-05-07T09:51:41Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11277
dc.language.isoenen
dc.subjectspectral dimensionen
dc.subjectLiouville heat kernelen
dc.subjectGaussian multiplicative chaosen
dc.subjectLiouville Brownian motionen
dc.subjectLiouville quantum gravityen
dc.subject.ddc519en
dc.titleSpectral dimension of Liouville quantum gravityen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper is concerned with computing the spectral dimension of 2d-Liouville quantum gravity. As a warm-up, we first treat the simple case of boundary Liouville quantum gravity. We prove that the spectral dimension is 1 via an exact expression for the boundary Liouville Brownian motion and heat kernel. Then we treat the 2d-case via a decomposition of time integral transforms of the Liouville heat kernel into Gaussian multiplicative chaos of Brownian bridges. We show that the spectral dimension is 2 in this case, as announced by physicists (see Ambj\o rn and al. in \cite{amb}) fifteen years ago.en
dc.relation.isversionofjnlnameAnnales Henri Poincaré
dc.relation.isversionofjnlvol15
dc.relation.isversionofjnlissue12
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages2281-2298
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00023-013-0308-y
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00819451en
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.submittednonen


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