How regular can the boundary of a quadratic Siegel disk be? - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2007

How regular can the boundary of a quadratic Siegel disk be?

Résumé

In the family of quadratic polynomials with an irrationally indifferent fixed point, we show the existence of Siegel disks with a fine control on the degree of regularity of the linearizing map on their boundary. A general theorem is stated and proved. As a particular case, we show that in the quadratic family, there are Siegel disks whose boundaries are C n but not C n+1 Jordan curves.
Fichier principal
Vignette du fichier
BoundariesRevu2.pdf (310.44 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00632237 , version 1 (11-10-2021)

Identifiants

Citer

Xavier Buff, Arnaud Chéritat. How regular can the boundary of a quadratic Siegel disk be?. Proceedings of the American Mathematical Society, 2007, 135 (4), pp.1073-1080. ⟨10.1090/S0002-9939-06-08578-9⟩. ⟨hal-00632237⟩
52 Consultations
16 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More