Brjuno Numbers and the Symbolic Dynamics of the Complex Exponential

We show that the set of itineraries for the complex exponential family λez is closely related, through the continued fraction expansion, to the set of Brjuno numbers.

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2004, Vol.5 (1), p.63-74
Main Author: DeVille, R. E. Lee
Format: Article
Language:English
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Description
Summary:We show that the set of itineraries for the complex exponential family λez is closely related, through the continued fraction expansion, to the set of Brjuno numbers.
ISSN:1662-3592
1575-5460
1662-3592
DOI:10.1007/BF02968130