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ON A QUESTION OF HERMAN, BAKER AND RIPPON CONCERNING SIEGEL DISKS
Published online by Cambridge University Press: 14 June 2004
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.
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- © The London Mathematical Society 2004
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