dc.creatorMosquera, Carolina Alejandra
dc.creatorShmerkin, Pablo Sebastian
dc.date.accessioned2020-11-09T18:24:22Z
dc.date.accessioned2022-10-15T04:59:44Z
dc.date.available2020-11-09T18:24:22Z
dc.date.available2022-10-15T04:59:44Z
dc.date.created2020-11-09T18:24:22Z
dc.date.issued2018-02
dc.identifierMosquera, Carolina Alejandra; Shmerkin, Pablo Sebastian; Self-similar measures: asymptotic bounds for the dimension and Fourier decay of smooth images; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 43; 2; 2-2018; 823-834
dc.identifier1239-629X
dc.identifierhttp://hdl.handle.net/11336/117954
dc.identifier1798-2383
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4347468
dc.description.abstractR. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power decay outside of a sparse set of frequencies. We present a version of this result for homogeneous self-similar measures, with quantitative estimates, and derive several applications: (1) non-linear smooth images of homogeneous self-similar measures have a power Fourier decay, (2) convolving with a homogeneous self-similar measure increases correlation dimension by a quantitative amount, (3) the dimension and Frostman exponent of (biased) Bernoulli convolutions tend to 1 as the contraction ratio tends to 1, at an explicit quantitative rate.
dc.languageeng
dc.publisherSuomalainen Tiedeakatemia
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.acadsci.fi/mathematica/
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.acadsci.fi/mathematica/Vol43/FengKaenmaki.html
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFourier decay
dc.subjectself-similar measures
dc.subjectcorrelation dimension
dc.titleSelf-similar measures: asymptotic bounds for the dimension and Fourier decay of smooth images
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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