Diophantine conditions imply critical points on the boundaries of Siegel disks of polynomials

DOI10.1007/s002200050384zbMath0944.37027OpenAlexW2060493841MaRDI QIDQ1296254

James T. jun. Rogers

Publication date: 21 July 1999

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050384

zbMATH Keywords

critical pointSiegel diskdiophantine condition

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Rotation numbers and vectors (37E45)

Related Items (13)

Decomposition of continua and prime ends ⋮ Herman's condition and Siegel disks of bi-critical polynomials ⋮ Any counterexample to Makienko’s conjecture is an indecomposable continuum ⋮ Singular values and bounded Siegel disks ⋮ Fixed points and circle maps ⋮ Critical points on the boundaries of Siegel disks ⋮ Siegel disks and periodic rays of entire functions ⋮ Buried points in Julia sets ⋮ A separation theorem for entire transcendental maps ⋮ Indecomposable continua and the Julia sets of polynomials. II ⋮ Siegel disks of the tangent family ⋮ Boundaries of Siegel disks: Numerical studies of their dynamics and regularity ⋮ The space of composants of an indecomposable continuum

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