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Available in print format 		Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Critical points on the boundaries of Siegel disks

Author(s): James T. Rogers
Journal: Bull. Amer. Math. Soc. 32 (1995), 317-321.
MathSciNet review: 1316499
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Abstract | References | 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.

References:

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Additional Information:

DOI: 10.1090/S0273-0979-1995-00600-2
PII: S 0273-0979(1995)00600-2
Keywords: Siegel disk, critical point, Julia set, Fatou set, indecomposable continuum, prime end
Copyright of article: Copyright 1995, American Mathematical Society




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