Mating a Siegel disk with the Julia set of a real quadratic polynomial

DOI10.1090/S1088-4173-06-00150-0zbMath1185.37104OpenAlexW1686181972WikidataQ122182217 ScholiaQ122182217MaRDI QIDQ3432087

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Publication date: 13 April 2007

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-06-00150-0

zbMATH Keywords

Julia setMandelbrot setrational mapholomorphic dynamicsmating

Mathematics Subject Classification ID

Related Items (1)

Questions about polynomial matings

Cites Work

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• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Complex dynamics
• Local connectivity of some Julia sets containing a circle with an irrational rotation
• Conformally natural extension of homeomorphisms of the circle
• External arguments and invariant measures for the quadratic family
• On the Julia set of a typical quadratic polynomial with a Siegel disk
• Complex bounds for renormalization of critical circle maps
• Geometry and Dynamics of Quadratic Rational Maps
• Mating Siegel quadratic polynomials
• Pasting Together Julia Sets: A Worked Out Example of Mating

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