Thick points for a Gaussian Free Field in 4 dimensions

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dc.contributor.authorCipriani, Alessandra
dc.contributor.authorHazra, Rajat Subhra
dc.date.accessioned2016-05-24T05:42:23Z
dc.date.available2019-06-28T08:26:44Z
dc.date.issued2013
dc.description.abstractThis article is concerned with the study of the fractal dimension of thick points for a 4-dimensional Gaussian Free Field. We adopt the definition of Gaussian Free Field on R4 introduced by Chen and Jakobson (2012) viewed as an abstract Wiener space with underlying Hilbert space H2 (R4). We can prove that for 0≤a≤4 the Hausdorff dimension of the set of a-high points is 4−a. We also show that the set of thick points gives full mass to the 4-dimensional Liouville Quantum Gravity measure.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3496
dc.language.isoengeng
dc.publisherCambridge : arXiveng
dc.relation.urihttp://arxiv.org/abs/1307.0703
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherKPZeng
dc.subject.otherLiouville quantum gravityeng
dc.subject.otherthick pointseng
dc.subject.otherHausdorff dimensioneng
dc.subject.otherabstract Wiener spaceeng
dc.subject.otherbilaplacianeng
dc.titleThick points for a Gaussian Free Field in 4 dimensionseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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