Upper bound for the size of quadratic Siegel disks

DOI10.1007/s00222-003-0331-6zbMath1087.37041OpenAlexW2004841366WikidataQ55919776 ScholiaQ55919776MaRDI QIDQ1879006

Xavier Buff, Arnaud Chéritat

Publication date: 22 September 2004

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-003-0331-6

zbMATH Keywords

polynomial dynamicsSiegel disk

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)

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Dynamical approximation and kernels of non-escaping hyperbolic components ⋮ Analytic linearization of a generalization of the semi-standard map: radius of convergence and Brjuno sum ⋮ Typical orbits of quadratic polynomials with a neutral fixed point: Brjuno type ⋮ Arithmetic geometric model for the renormalisation of irrationally indifferent attractors ⋮ A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type ⋮ All bounded type Siegel disks of rational maps are quasi-disks ⋮ The size of quadratic \(p\)-adic linearization disks ⋮ Quadratic Julia sets with positive area ⋮ A new proof of a conjecture of Yoccoz ⋮ Siegel disks with smooth boundaries ⋮ Density of hyperbolicity for classes of real transcendental entire functions and circle maps

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