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dc.contributor.authorVargas, Vincent
dc.date.accessioned2010-03-09T14:13:21Z
dc.date.available2010-03-09T14:13:21Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/3672
dc.language.isoenen
dc.subjectKPZ Equationen
dc.subject.ddc519en
dc.titleStochastic Scale Invariance and the KPZ formulaen
dc.typeCommunication / Conférence
dc.description.abstractenIn this talk, we will prove the KPZ equation (initially introduced in the framework of quantum gravity in 2 dimensions) for the limit lognormal measures introduced by Mandelbrot. More specifically, for a given set K, we will relate it's Hausdorff dimension under the Euclidian metric to it's Hausdorff dimension under the random metric induced by the limit lognormal measure. We will see how the notion of stochastic scale invariance is crucial in the derivation of the aforementioned relation. (Joint work with R. Rhodes)en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.conftitleColumbia University Probability and Mathematical Physics Seminaren
dc.relation.confdate2009-03
dc.relation.confcityNew-Yorken
dc.relation.confcountryÉtats-Unisen


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