All bounded type Siegel disks of rational maps are quasi-disks

Details All bounded type Siegel disks of rational maps are quasi-disks All bounded type Siegel disks of rational maps are quasi-disks

2008-10-15

arxiv.org/abs/0810.2733v4

Mathematics

Dynamical Systems

40 pages

Scientific paper

We prove that every bounded type Siegel disk of a rational map must be a
quasi-disk with at least one critical point on its boundary. This verifies
Douady-Sullivan conjecture for bounded type Siegel disks.

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