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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. doi:10.1112/S0024609304003157 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | ||||
Publisher: | LONDON MATH SOC | ||||
ISSN: | 0024-6093 | ||||
Official Date: | July 2004 | ||||
Dates: |
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Volume: | 36 | ||||
Number: | Part 4 | ||||
Number of Pages: | 3 | ||||
Page Range: | pp. 516-518 | ||||
DOI: | 10.1112/S0024609304003157 | ||||
Publication Status: | Published |
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