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Conformal Geometry and Dynamics
Conformal Geometry and Dynamics
ISSN 1088-4173

 

Ghys-like models for Lavaurs and simple entire maps


Author: Arnaud Chéritat
Journal: Conform. Geom. Dyn. 10 (2006), 227-256
MSC (2000): Primary 37F40, 37F50; Secondary 37F10
Published electronically: September 26, 2006
MathSciNet review: 2261050
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Abstract | References | Similar Articles | Additional Information

Abstract: We provide a new geometric construction of pre-models (à la Ghys) for Lavaurs maps, from which we deduce that their Siegel disk is a Jordan curve running through a critical point, which was not known before. The construction turns out to work also for a class of entire maps, very specific, nonetheless including cases where no pre-models were known.


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Additional Information

Arnaud Chéritat
Affiliation: Laboratoire Émile Picard, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex, France

DOI: http://dx.doi.org/10.1090/S1088-4173-06-00141-X
PII: S 1088-4173(06)00141-X
Received by editor(s): June 1, 2005
Published electronically: September 26, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.