dc.creator | Mosquera, Carolina Alejandra | |
dc.creator | Shmerkin, Pablo Sebastian | |
dc.date.accessioned | 2020-11-09T18:24:22Z | |
dc.date.accessioned | 2022-10-15T04:59:44Z | |
dc.date.available | 2020-11-09T18:24:22Z | |
dc.date.available | 2022-10-15T04:59:44Z | |
dc.date.created | 2020-11-09T18:24:22Z | |
dc.date.issued | 2018-02 | |
dc.identifier | Mosquera, 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.identifier | 1239-629X | |
dc.identifier | http://hdl.handle.net/11336/117954 | |
dc.identifier | 1798-2383 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4347468 | |
dc.description.abstract | R. 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.language | eng | |
dc.publisher | Suomalainen Tiedeakatemia | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.acadsci.fi/mathematica/ | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.acadsci.fi/mathematica/Vol43/FengKaenmaki.html | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Fourier decay | |
dc.subject | self-similar measures | |
dc.subject | correlation dimension | |
dc.title | Self-similar measures: asymptotic bounds for the dimension and Fourier decay of smooth images | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |