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dc.contributor.author
Shmerkin, Pablo Sebastian  
dc.contributor.author
Solomyak, Boris  
dc.date.available
2018-05-31T16:15:13Z  
dc.date.issued
2016-11  
dc.identifier.citation
Shmerkin, Pablo Sebastian; Solomyak, Boris; Absolute continuity of complex Bernoulli convolutions; Cambridge University Press; Mathematical Proceedings Of The Cambridge Philosophical Society; 161; 3; 11-2016; 435-453  
dc.identifier.issn
0305-0041  
dc.identifier.uri
http://hdl.handle.net/11336/46816  
dc.description.abstract
We 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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Cambridge University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Bernoulli Convolutions  
dc.subject
Self-Similar Measures  
dc.subject
Absolute Continuity  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Absolute continuity of complex Bernoulli convolutions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-05-31T14:40:47Z  
dc.journal.volume
161  
dc.journal.number
3  
dc.journal.pagination
435-453  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Cambridge  
dc.description.fil
Fil: Shmerkin, Pablo Sebastian. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Solomyak, Boris. Bar Ilan University; Israel  
dc.journal.title
Mathematical Proceedings Of The Cambridge Philosophical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/S0305004116000335  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1504.00631  
dc.relation.alternativeid
info: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  

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