Dynamics of Siegel Rational Maps with Prescribed Combinatorics

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dc.creatorZhang, Gaofei
dc.date2008-11-19
dc.date.accessioned2026-07-07T10:19:27Z
dc.date.available2026-07-07T10:19:27Z
dc.descriptionWe extend Thurston's combinatorial criterion for postcritically finite rational maps to a class of rational maps with bounded type Siegel disks. The combinatorial characterization of this class of Siegel rational maps plays a special role in the study of general Siegel rational maps. As one of the applications, we prove that for any quadratic rational map with a bounded type Siegel disk, the boundary of the Siegel disk is a quasi-circle which passes through one or both of the critical points.
dc.description83 Pages
dc.identifierhttps://arxiv.org/abs/0811.3043
dc.identifierhttp://arxiv.org/abs/0811.3043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174511
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject58F23;37F10
dc.titleDynamics of Siegel Rational Maps with Prescribed Combinatorics
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