no. 15-16
Dynamical Systems
The boundary of bounded polynomial Fatou components
[Frontière des composantes de Fatou polynômiales]

Présenté par : Étienne Ghys

Roesch, Pascale1 ; Yin, Yongcheng2
1 Laboratoire Émile-Picard, Université Paul-Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 9, France
2 School of Mathematical Sciences, Fudan University, Shanghai, 200433, China
Comptes Rendus. Mathématique, Tome 346 (2008) no. 15-16, pp. 877-880.

Nous montrons que le bord de toute composante de Fatou bornée d' un polynôme, hormis les disques de Siegel, est une courbe de Jordan.

We prove that, for a polynomial, every bounded Fatou component, with the exception of Siegel disks, has for boundary a Jordan curve.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.06.004
Roesch, Pascale 1 ; Yin, Yongcheng 2

1 Laboratoire Émile-Picard, Université Paul-Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 9, France
2 School of Mathematical Sciences, Fudan University, Shanghai, 200433, China 
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Roesch, Pascale; Yin, Yongcheng. The boundary of bounded polynomial Fatou components. Comptes Rendus. Mathématique, Tome 346 (2008) no. 15-16, pp. 877-880. doi : 10.1016/j.crma.2008.06.004. http://www.numdam.org/articles/10.1016/j.crma.2008.06.004/

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