Absolute continuity of complex Bernoulli convolutions

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dc.conicet.fuenteindividual
dc.conicet.organizacionUniversidad Torcuato Di Tella. Departamento de Matemáticas y Estadística
dc.conicet.organizacionConsejo Nacional de Investigaciones Científicas y Técnicas
dc.conicet.organizacionBar Ilan University
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionIsrael
dc.conicet.produccionid6349890
dc.contributor.authorShmerkin, Pablo Sebastian
dc.contributor.authorSolomyak, Boris
dc.date.accessioned2018-05-31T16:15:13Z
dc.date.available2018-05-31T16:15:13Z
dc.date.issued2016-11
dc.date.updated2018-05-31T14:40:47Z
dc.description.abstractWe prove that complex Bernoulli convolutions are absolutely continuous in the supercritical parameter region, outside of an exceptional set of parameters of zero Hausdorff dimension. Similar results are also obtained in the biased case, and for other parametrised families of self-similar sets and measures in the complex plane, extending earlier results.es
dc.description.filFil: Shmerkin, Pablo Sebastian. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.filFil: Solomyak, Boris. Bar Ilan University; Israel
dc.formatapplication/pdfes
dc.identifier.citationShmerkin, Pablo Sebastian; Solomyak, Boris; Absolute continuity of complex Bernoulli convolutions; Cambridge University Press; Mathematical Proceedings Of The Cambridge Philosophical Society; 161; 3; 11-2016; 435-453es
dc.identifier.institucionalCONICET
dc.identifier.issn0305-0041es
dc.identifier.repoCONICET Digital
dc.identifier.urihttp://hdl.handle.net/11336/46816
dc.journal.ciudadCambridgees
dc.journal.number3es
dc.journal.pagination435-453es
dc.journal.paisReino Unidoes
dc.journal.titleMathematical Proceedings Of The Cambridge Philosophical Societyes
dc.journal.volume161es
dc.language.isoenges
dc.publisherCambridge University Presses
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/S0305004116000335
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1504.00631
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/absolute-continuity-of-complex-bernoulli-convolutions/C81F2BDC7B61460541F3AD24158DC2CC
dc.rightsinfo:eu-repo/semantics/openAccess*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/*
dc.subjectBernoulli Convolutionses
dc.subjectSelf-Similar Measureses
dc.subjectAbsolute Continuityes
dc.subject.classificationMatemática Puraes
dc.subject.classificationMatemáticases
dc.subject.classificationCIENCIAS NATURALES Y EXACTASes
dc.titleAbsolute continuity of complex Bernoulli convolutionses
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion

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