Abstract
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’s conjecture in the case of bounded type rotation numbers.
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Zhang, G. All bounded type Siegel disks of rational maps are quasi-disks. Invent. math. 185, 421–466 (2011). https://doi.org/10.1007/s00222-011-0312-0
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DOI: https://doi.org/10.1007/s00222-011-0312-0