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Cylinder renormalization of siegel disks
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2007 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 16, no 2, 215-226 p.Article in journal (Refereed) Published
Abstract [en]

We 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 convincing evidence to support the hyperbolicity conjecture in this setting.

Place, publisher, year, edition, pages
2007. Vol. 16, no 2, 215-226 p.
Keyword [en]
siegel disc, renormalization, universality, beltrami equation, measurable Riemann mapping theorem
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-37014DOI: 10.1080/10586458.2007.10128991ISI: 000248362000007OAI: oai:DiVA.org:kth-37014DiVA: diva2:431830
Available from: 2011-07-26 Created: 2011-07-26 Last updated: 2017-12-08Bibliographically approved

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