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All bounded type Siegel disks of rational maps are quasi-disks |
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| Authors: | Gaofei Zhang |
| Affiliation: | 1.Department of Mathematics,Nanjing University,Nanjing,P.R. China |
| 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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