Quadratic Julia sets with positive area

• 成果类型: Article
• 署名作者: Buff, Xavier; Cheritat, Arnaud
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.176.2.1
• 发表日期: 2012
• 页码: 673-746
• 关键词: siegel-disks; DYNAMICS

摘要

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.