Hostname: page-component-5c6d5d7d68-wtssw Total loading time: 0 Render date: 2024-08-15T07:32:56.773Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)