Quadratic Julia sets with positive area

• Autores: Xavier Buff, Arnaud Chéritat
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 176, Nº 2, 2012, págs. 673-746
• Idioma: inglés
• DOI: 10.4007/annals.2012.176.2.1
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.