Decay of geometry for Fibonacci critical covering maps of the circle

dc.creatorCOLLI, Eduardo
dc.creatorNASCIMENTO, Marcio L. do
dc.creatorVARGAS, Edson
dc.date.accessioned2012-10-20T04:49:46Z
dc.date.accessioned2018-07-04T15:46:32Z
dc.date.available2012-10-20T04:49:46Z
dc.date.available2018-07-04T15:46:32Z
dc.date.created2012-10-20T04:49:46Z
dc.date.issued2009
dc.identifierANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, v.26, n.4, p.1533-1551, 2009
dc.identifier0294-1449
dc.identifierhttp://producao.usp.br/handle/BDPI/30560
dc.identifier10.1016/j.anihpc.2009.03.001
dc.identifierhttp://dx.doi.org/10.1016/j.anihpc.2009.03.001
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627199
dc.description.abstractWe study the growth of Df `` (f(c)) when f is a Fibonacci critical covering map of the circle with negative Schwarzian derivative, degree d >= 2 and critical point c of order l > 1. As an application we prove that f exhibits exponential decay of geometry if and only if l <= 2, and in this case it has an absolutely continuous invariant probability measure, although not satisfying the so-called Collet-Eckmann condition. (C) 2009 Elsevier Masson SAS. All rights reserved.
dc.languageeng
dc.publisherGAUTHIER-VILLARS/EDITIONS ELSEVIER
dc.relationAnnales de l Institut Henri Poincare-analyse Non Lineaire
dc.rightsCopyright GAUTHIER-VILLARS/EDITIONS ELSEVIER
dc.rightsrestrictedAccess
dc.subjectCircle maps
dc.subjectCovering maps
dc.subjectFibonacci combinatorics
dc.subjectDecay of geometry
dc.subjectInvariant measures
dc.titleDecay of geometry for Fibonacci critical covering maps of the circle
dc.typeArtículos de revistas


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