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On a question of Herman, Baker and Rippon concerning Siegel disks
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UNSPECIFIED. (2004) On a question of Herman, Baker and Rippon concerning Siegel disks. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 36 (Part 4). pp. 516-518. ISSN 0024-6093
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Official URL: http://dx.doi.org/10.1112/S0024609304003157
Abstract
Consider the family of exponential maps E-k(z) = exp(z) + k. This paper shows that any unbounded Siegel disk U of E-k contains the singular value k on its boundary. By a result of Herman, this implies that k is an element of partial derivativeU if the rotation number is diophantine.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY |
| Publisher: | LONDON MATH SOC |
| ISSN: | 0024-6093 |
| Date: | July 2004 |
| Volume: | 36 |
| Number: | Part 4 |
| Number of Pages: | 3 |
| Page Range: | pp. 516-518 |
| Identification Number: | 10.1112/S0024609304003157 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8276 |
Data sourced from Thomson Reuters' Web of Knowledge
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