Julia and John revisited

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dc.creatorMihalache, Nicolae
dc.date2008-03-27
dc.date2009-02-26
dc.date.accessioned2026-07-07T12:46:25Z
dc.date.available2026-07-07T12:46:25Z
dc.descriptionWe show that Fatou components of a semi-hyperbolic rational map are John domains and that the converse does not hold. This generalizes a famous result of Carleson, Jones and Yoccoz. We show that a connected Julia set is locally connected for a large class of non-uniformly hyperbolic rational maps. This class is more general than semi-hyperbolicity and includes Collet-Eckmann and Topological Collet-Eckmann maps and maps verifying a summability condition (as considered by Graczyk and Smirnov).
dc.identifierhttps://arxiv.org/abs/0803.3889
dc.identifierhttp://arxiv.org/abs/0803.3889
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221375
dc.subjectDynamical Systems
dc.subject37F10
dc.titleJulia and John revisited
dc.typetext

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