THE MAXIMAL ENTROPY MEASURE DETECTS NON-UNIFORM HYPERBOLICITY

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dc.contributor.authorRivera Letelier, Juan
dc.date.accessioned2024-01-10T12:09:41Z
dc.date.available2024-01-10T12:09:41Z
dc.date.issued2010
dc.description.abstractWe characterize two of the most studied non-uniform hyperbolicity conditions for rational maps, semi-hyperbolicity and the topological Collet-Eckmann condition, in terms of the maximal entropy measure.
dc.description.abstractWith the same tools we give an extension of the result of Carleson, Jones and Yoccoz that semi-hyperbolicity characterizes those polynomial maps whose basin of attraction of infinity is a John domain, to rational maps having a completely invariant attracting basin.
dc.description.funderResearch Network on Low Dimensional Dynamics
dc.description.funderCONICYT, Chile
dc.description.funderCentre National de la Recherce Scientifique (CNRS), France
dc.format.extent16 páginas
dc.fuente.origenWOS
dc.identifier.eissn1945-001X
dc.identifier.issn1073-2780
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76513
dc.identifier.wosidWOS:000289374100005
dc.information.autorucMatemática;Rivera J;S/I;1006485
dc.issue.numero5
dc.language.isoen
dc.nota.accesoSin adjunto
dc.pagina.final866
dc.pagina.inicio851
dc.publisherINT PRESS BOSTON, INC
dc.revistaMATHEMATICAL RESEARCH LETTERS
dc.rightsregistro bibliográfico
dc.subjectNon-uniform hyperbolicity
dc.subjectmaximal entropy measure
dc.subjectJulia set
dc.subjectdoubling measure
dc.subjectJULIA SETS
dc.subjectCOLLET-ECKMANN
dc.subjectRATIONAL FUNCTIONS
dc.subjectUNIFORMLY PERFECT
dc.subjectMAPS
dc.subjectPOROSITY
dc.subjectDYNAMICS
dc.subjectHOLDER
dc.subjectDISKS
dc.subject.ods03 Good Health and Well-being
dc.subject.ods09 Industry, Innovation and Infrastructure
dc.subject.odspa03 Salud y bienestar
dc.subject.odspa09 Industria, innovación e infraestructura
dc.titleTHE MAXIMAL ENTROPY MEASURE DETECTS NON-UNIFORM HYPERBOLICITY
dc.typeartículo
dc.volumen17
sipa.codpersvinculados1006485
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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