Critical points on the boundaries of Siegel disks
Author:
James T. Rogers
Journal:
Bull. Amer. Math. Soc. 32 (1995), 317-321
MSC:
Primary 30D05; Secondary 54F15, 58F23
DOI:
https://doi.org/10.1090/S0273-0979-1995-00600-2
MathSciNet review:
1316499
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Abstract | References | Similar Articles | Additional Information
Abstract: Let f be a polynomial map of the Riemann sphere of degree at least two. We prove that if f has a Siegel disk G on which the rotation number satisfies a diophantine condition, then the boundary of G contains a critical point.
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Additional Information
DOI:
https://doi.org/10.1090/S0273-0979-1995-00600-2
Keywords:
Siegel disk,
critical point,
Julia set,
Fatou set,
indecomposable continuum,
prime end
Article copyright:
© Copyright 1995
American Mathematical Society