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dc.contributor.authorRobert, Raoul
dc.contributor.authorVargas, Vincent
dc.date.accessioned2010-01-26T10:12:24Z
dc.date.available2010-01-26T10:12:24Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/3134
dc.language.isoenen
dc.subjectMultifractal processesen
dc.subjectRandom measuresen
dc.subjectGaussian processesen
dc.subject.ddc519en
dc.titleGaussian Multiplicative Chaos revisiteden
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this article, we extend the theory of multiplicative chaos for positive definite functions in Rd of the form f(x) = 2 ln+ T|x|+ g(x) where g is a continuous and bounded function. The construction is simpler and more general than the one defined by Kahane in 1985. As main application, we give a rigorous mathematical meaning to the Kolmogorov-Obukhov model of energy dissipation in a turbulent flow.en
dc.relation.isversionofjnlnameAnnals of Probability
dc.relation.isversionofjnlvol38
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages605-631
dc.relation.isversionofdoihttp://dx.doi.org/10.1214/09-AOP490
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00293830/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherInstitute of Mathematical Statistics
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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