Critical points on the boundaries of Siegel disks

DOI10.1090/S0273-0979-1995-00600-2zbMath0867.58052arXivmath/9507224OpenAlexW2060636706MaRDI QIDQ4885221

James T. jun. Rogers

Publication date: 25 September 1996

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9507224

zbMATH Keywords

critical pointSiegel diskFatou set

Mathematics Subject Classification ID

Continua and generalizations (54F15) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items (4)

Each locally one-to-one map from a continuum onto a tree-like continuum is a homeomorphism ⋮ A conformal mapping example ⋮ Boundaries of Siegel disks: Numerical studies of their dynamics and regularity ⋮ Building blocks for quadratic Julia sets

Cites Work

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• Are there critical points on the boundaries of singular domains?
• Diophantine conditions imply critical points on the boundaries of Siegel disks of polynomials
• Singularities in the boundaries of local Siegel disks
• Complex analytic dynamics on the Riemann sphere
• Is the boundary of a Siegel disk a Jordan curve?

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