Cylinder renormalization of Siegel disks

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dc.creatorGaidashev, Denis
dc.creatorYampolsky, Michael
dc.date2006-02-28
dc.date2006-08-03
dc.date.accessioned2026-07-07T07:06:23Z
dc.date.available2026-07-07T07:06:23Z
dc.descriptionWe study one of the central open questions in one-dimensional renormalization theory -- the conjectural universality of golden-mean Siegel disks. We present an approach to the problem based on cylinder renormalization proposed by the second author. Numerical implementation of this approach relies on the Constructive Measurable Riemann Mapping Theorem proved by the first author. Our numerical study yields a convincing evidence to support the Hyperbolicity Conjecture in this setting.
dc.descriptionRevised version. To appear in Exp. Math
dc.identifierhttps://arxiv.org/abs/math/0603008
dc.identifierhttp://arxiv.org/abs/math/0603008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110008
dc.subjectDynamical Systems
dc.subject37F25
dc.titleCylinder renormalization of Siegel disks
dc.typetext

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