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Singularities in the boundaries of local Siegel disks

Published online by Cambridge University Press:  19 September 2008

James T. Rogers Jr
James T. Rogers Jr
Affiliation:
Department of Mathematics, Tulane University, New Orleans, LA 70118, USA
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Abstract

Bounded irreducible local Siegel disks include classical Siegel disks of polynomials, bounded irreducible Siegel disks of rational and entire functions, and the examples of Herman and Moeckel. We show there are only two possibilities for the structure of the boundary of such a disk: either the boundary admits a nice decomposition onto a circle or it is an indecomposable continuum.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 4 , December 1992 , pp. 803 - 821
Copyright
Copyright © Cambridge University Press 1992

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