Geodesic
Quadratic Julia sets with positive area
Xavier Buff1 ; Arnaud Chéritat1
1 Université de Toulouse<br/> Institut de Mathématiques de Toulouse<br/> 118, route de Narbonne<br/> 31062 Toulouse<br/> France
Annals of mathematics, Tome 176 (2012) no. 2, pp. 673-746.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove the existence of quadratic polynomials having a Julia set with positive Lebesgue measure. We find such examples with a Cremer fixed point, with a Siegel disk, or with infinitely many satellite renormalizations.
DOI : 10.4007/annals.2012.176.2.1

Xavier Buff 1 ; Arnaud Chéritat 1

1 Université de Toulouse<br/> Institut de Mathématiques de Toulouse<br/> 118, route de Narbonne<br/> 31062 Toulouse<br/> France 
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Xavier Buff; Arnaud Chéritat. Quadratic Julia sets with positive area. Annals of mathematics, Tome 176 (2012) no. 2, pp. 673-746. doi : 10.4007/annals.2012.176.2.1. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.2.1/

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