Critical points on the boundaries of Siegel disks
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- by James T. Rogers PDF
- Bull. Amer. Math. Soc. 32 (1995), 317-321 Request permission
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
- © Copyright 1995 American Mathematical Society
- 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