Mating Siegel Quadratic Polynomials

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dc.creatorYampolsky, Michael
dc.creatorZakeri, Saeed
dc.date1998-08-03
dc.date.accessioned2026-07-07T05:25:36Z
dc.date.available2026-07-07T05:25:36Z
dc.descriptionLet F be a quadratic rational map of the sphere which has two fixed Siegel disks with bounded type rotation numbers theta and nu. Using a new degree 3 Blaschke product model for the dynamics of F and an adaptation of complex a priori bounds for renormalization of critical circle maps, we prove that F can be realized as the mating of two Siegel quadratic polynomials with the corresponding rotation numbers theta and nu.
dc.description55 pages, 14 PostScript figures
dc.identifierhttps://arxiv.org/abs/math/9808009
dc.identifierhttp://arxiv.org/abs/math/9808009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77240
dc.subjectDynamical Systems
dc.titleMating Siegel Quadratic Polynomials
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