All Bounded Type Siegel Disks of Rational Maps Are Quasi-disks

نویسنده

  • GAOFEI ZHANG
چکیده

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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تاریخ انتشار 2008