Examples of Feigenbaum Julia sets with small Hausdorff dimension

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dc.creatorAvila, Artur
dc.creatorLyubich, Mikhail
dc.date2004-07-05
dc.date.accessioned2026-07-07T05:09:57Z
dc.date.available2026-07-07T05:09:57Z
dc.descriptionWe give examples of infinitely renormalizable quadratic polynomials $F_c: z\maps to z^2+c$ with stationary combinatorics whose Julia sets have Hausdorff dimension arbitrar y close to 1. The combinatorics of the renormalization involved is close to the Chebyshev one . The argument is based upon a new tool, a ``Recursive Quadratic Estimate'' for the Poincaré series of an infinitely re normalizable map.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0407066
dc.identifierhttp://arxiv.org/abs/math/0407066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71777
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F25; 37F45
dc.titleExamples of Feigenbaum Julia sets with small Hausdorff dimension
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