Comptes Rendus
no. 15-16
Dynamical Systems
The boundary of bounded polynomial Fatou components
Presented by: Étienne Ghys
Pascale Roesch1; Yongcheng Yin2
1Laboratoire Émile-Picard, Université Paul-Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 9, France
2School of Mathematical Sciences, Fudan University, Shanghai, 200433, China
Comptes Rendus. Mathématique, Volume 346 (2008) no. 15-16, pp. 877-880

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

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

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2008.06.004

Pascale Roesch  1 ; Yongcheng Yin  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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Pascale Roesch; Yongcheng Yin. The boundary of bounded polynomial Fatou components. Comptes Rendus. Mathématique, Volume 346 (2008) no. 15-16, pp. 877-880. doi: 10.1016/j.crma.2008.06.004

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