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dc.provenanceCONICET-
dc.creatorAimar, Hugo Alejandro-
dc.creatorCarena, Marilina-
dc.creatorIaffei, Bibiana Raquel-
dc.date2017-03-14T22:02:50Z-
dc.date2017-03-14T22:02:50Z-
dc.date2015-11-
dc.date2016-11-23T20:12:42Z-
dc.date.accessioned2019-04-29T15:38:53Z-
dc.date.available2019-04-29T15:38:53Z-
dc.date.issued2015-11-
dc.identifierAimar, Hugo Alejandro; Carena, Marilina; Iaffei, Bibiana Raquel; Gradual doubling property of Hutchinson orbits; Springer Heidelberg; Czechoslovak Mathematical Journal; 65; 1; 11-2015; 191-205-
dc.identifier0011-4642-
dc.identifierhttp://hdl.handle.net/11336/13882-
dc.identifier1572-9141-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/298477-
dc.descriptionThe classical self-similar fractals can be obtained as xed points of the iteration technique introduced by Hutchinson. The well known results of Mosco show that typically the limit fractal equipped with the invariant measure is a (normal) space of homogeneous type. But the doubling property along this iteration is generally not preserved even when the starting point, and of course the limit point, have both the doubling property. We prove that the elements of Hutchinson orbits satisfy the doubling property except perhaps for radii which decrease to zero as the step of the iteration grows, and in this sense, we say that the doubling property of the limit is achieved gradually. We use this result to prove the uniform upper doubling property of the orbits.-
dc.descriptionFil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnol.conicet - Santa Fe. Instituto de Matematica Aplicada "litoral"; Argentina-
dc.descriptionFil: Carena, Marilina. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnol.conicet - Santa Fe. Instituto de Matematica Aplicada "litoral"; Argentina-
dc.descriptionFil: Iaffei, Bibiana Raquel. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnol.conicet - Santa Fe. Instituto de Matematica Aplicada "litoral"; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherSpringer Heidelberg-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10587-015-0168-3-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10587-015-0168-3-
dc.rightsinfo:eu-repo/semantics/restrictedAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.source.urihttp://hdl.handle.net/11336/13882-
dc.subjectMetric space-
dc.subjectDoubling measure-
dc.subjectHausdorff-Kantorovich metric-
dc.subjectIterated function system-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleGradual doubling property of Hutchinson orbits-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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