Equidistribution from fractal measures

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dc.conicet.fuenteindividual
dc.conicet.organizacionThe Hebrew University of Jerusalem
dc.conicet.organizacionUniversidad Torcuato Di Tella. Departamento de Matemáticas y Estadística
dc.conicet.organizacionUniversity of Surrey. Faculty of Engineering and Physical Sciences. Department of Mathematics
dc.conicet.organizacionConsejo Nacional de Investigaciones Científicas y Técnicas
dc.conicet.paisOrganizacionIsrael
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionReino Unido
dc.conicet.paisOrganizacionArgentina
dc.conicet.produccionid5210928
dc.contributor.authorHochman, Michael
dc.contributor.authorShmerkin, Pablo Sebastian
dc.date.accessioned2018-03-07T19:06:02Z
dc.date.available2018-03-07T19:06:02Z
dc.date.issued2015-10
dc.date.updated2018-03-06T17:44:52Z
dc.description.abstractWe give a fractal-geometric condition for a measure on [0,1] to be supported on points x that are normal in base n, i.e. such that (Formula presented.) equidistributes modulo 1. This condition is robust under C1 coordinate changes, and it applies also when n is a Pisot number rather than an integer. As applications we obtain new results (and strengthen old ones) about the prevalence of normal numbers in fractal sets, and new results on measure rigidity, specifically completing Host’s theorem to multiplicatively independent integers and proving a Rudolph-Johnson-type theorem for certain pairs of beta transformations.es
dc.description.filFil: Hochman, Michael. The Hebrew University of Jerusalem; Israel
dc.description.filFil: Shmerkin, Pablo Sebastian. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. University of Surrey. Faculty of Engineering and Physical Sciences. Department of Mathematics; Reino Unido. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.formatapplication/pdfes
dc.identifier.citationHochman, Michael; Shmerkin, Pablo Sebastian; Equidistribution from fractal measures; Springer; Inventiones Mathematicae; 202; 1; 10-2015; 427-479es
dc.identifier.institucionalCONICET
dc.identifier.issn0020-9910es
dc.identifier.repoCONICET Digital
dc.identifier.urihttp://hdl.handle.net/11336/38161
dc.journal.ciudadBerlínes
dc.journal.number1es
dc.journal.pagination427-479es
dc.journal.paisAlemaniaes
dc.journal.titleInventiones Mathematicaees
dc.journal.volume202es
dc.language.isoenges
dc.publisherSpringeres
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s00222-014-0573-5
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00222-014-0573-5
dc.rightsinfo:eu-repo/semantics/openAccess*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/*
dc.subjectEquidistributiones
dc.subjectFractalses
dc.subjectResonancees
dc.subjectNormal Numberses
dc.subject11k16es
dc.subject11a63es
dc.subject28a80es
dc.subject28d05es
dc.subject.classificationMatemática Puraes
dc.subject.classificationMatemáticases
dc.subject.classificationCIENCIAS NATURALES Y EXACTASes
dc.titleEquidistribution from fractal measureses
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion

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