Thickness of Julia sets of Feigenbaum polynomials with high order critical points

DOI10.1016/j.crma.2004.07.013zbMath1052.37040OpenAlexW2054772400WikidataQ121616062 ScholiaQ121616062MaRDI QIDQ1887008

Grzegorz Świątek, Genadi Levin

Publication date: 23 November 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.07.013

zbMATH Keywords

rational mapsunimodal polynomialsHausdorff dimensionslimit mapdegenerate critical pointsFeigenbaum topological typethin Julia sets

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving maps of the interval (37E05) Dimension theory of smooth dynamical systems (37C45)

Related Items (2)

Measure of the Julia set of the Feigenbaum map with infinite criticality ⋮ Hausdorff dimension of Julia sets of Feigenbaum polynomials with high criticality

Cites Work

• Unnamed Item
• Computer methods and Borel summability applied to Feigenbaum's equation
• Collet, Eckmann and Hölder
• The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
• Wild Cantor attractors exist

This page was built for publication: Thickness of Julia sets of Feigenbaum polynomials with high order critical points