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On holomorphic critical quasi-circle maps
Published online by Cambridge University Press: 18 October 2004
Abstract
The so-called Herman–Światek theorem is generalized to holomorphic self-homeomorphisms of quasi-circles. This result implies an unpublished theorem of Michel Herman: If a Siegel disk or Arnold–Herman ring for a rational map has a boundary component, which is a quasi-circle containing a critical point, then the associated rotation number is Diophantine of exponent 2.
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- © 2004 Cambridge University Press
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