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Ghys-like models for Lavaurs and simple entire maps

Author(s): Arnaud Chéritat
Journal: Conform. Geom. Dyn. 10 (2006), 227-256.
MSC (2000): Primary 37F40, 37F50; Secondary 37F10
Posted: September 26, 2006
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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: 10.1090/S1088-4173-06-00141-X
PII: S 1088-4173(06)00141-X
Received by editor(s): June 1, 2005
Posted: September 26, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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