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Comptes Rendus Mathématique
Volume 346, n° 15-16
pages 877-880 (août 2008)
Doi : 10.1016/j.crma.2008.06.004
Received : 24 December 2007 ;  accepted : 11 June 2008
The boundary of bounded polynomial Fatou components
Frontière des composantes de Fatou polynômiales
 

Pascale Roesch a , Yongcheng Yin b
a Laboratoire Émile-Picard, Université Paul-Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 9, France 
b School of Mathematical Sciences, Fudan University, Shanghai, 200433, China 

Abstract

We prove that, for a polynomial, every bounded Fatou component, with the exception of Siegel disks, has for boundary a Jordan curve. To cite this article: P. Roesch, Y. Yin, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
Résumé

Nous montrons que le bord de toute composante de Fatou bornée dʼ un polynôme, hormis les disques de Siegel, est une courbe de Jordan. Pour citer cet article : P. Roesch, Y. Yin, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.


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