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arXiv · 0810.2733

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

Gaofei Zhang
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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 conjecture for bounded type Siegel disks.

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Gaofei Zhang. 2010-07-09. All bounded type Siegel disks of rational maps are quasi-disks. https://arxiv.org/abs/0810.2733

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