On a Question of Herman, Baker and Rippon Concerning Siegel Disks期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On a Question of Herman, Baker and Rippon Concerning Siegel Disks

Authors:	Rempe Lasse

Affiliation:	Mathematisches Seminar der, CAU Kiel Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; lasse{at}math.uni-kiel.de

Abstract:	Consider the family of exponential maps E_k(z) = exp(z)+k. Thispaper shows that any unbounded Siegel disk U of E_k containsthe singular value k on its boundary. By a result of Herman,this implies that k $isin$ ${partial}$ U if the rotation number is diophantine.2000 Mathematics Subject Classification 37F10, 30D05.

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