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ON A QUESTION OF HERMAN, BAKER AND RIPPON CONCERNING SIEGEL DISKS

Published online by Cambridge University Press:  14 June 2004

LASSE REMPE
LASSE REMPE
Affiliation:
Mathematisches Seminar der, CAU Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germanylasse@math.uni-kiel.de
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Abstract

Consider the family of exponential maps $\Ek(z)=\exp(z)+\kappa$. This paper shows that any unbounded Siegel disk $U$ of $\Ek$ contains the singular value $\kappa$ on its boundary. By a result of Herman, this implies that $\kappa\in \partial U$ if the rotation number is diophantine.

Keywords

37F1030D05
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 4 , July 2004 , pp. 516 - 518
Copyright
© The London Mathematical Society 2004

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