How regular can the boundary of a quadratic Siegel disk be?

DOI10.1090/S0002-9939-06-08578-9zbMath1161.37036MaRDI QIDQ3420086

Arnaud Chéritat, Xavier Buff

Publication date: 1 February 2007

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

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) Compactness in Banach (or normed) spaces (46B50)

Related Items (4)

Typical orbits of quadratic polynomials with a neutral fixed point: Brjuno type ⋮ Smooth Siegel disks without number theory ⋮ Area and Hausdorff dimension of Sierpiński carpet Julia sets ⋮ Boundaries of Siegel disks: Numerical studies of their dynamics and regularity

Cites Work

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• Siegel disks with smooth boundaries
• Are there critical points on the boundaries of singular domains?
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• On the Julia set of a typical quadratic polynomial with a Siegel disk
• Intrinsic rotations of simply connected regions

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