Siegel Disks with Critical Points in Their Boundaries
نویسندگان
چکیده
Consider an analytic function f which has a Siegel disk properly contained in the domain of holomorphy. We prove that if the rotation number is of bounded type, then f has a critical point in the boundary of the Siegel disk.
منابع مشابه
Critical Points on the Boundaries of Siegel Disks
Let / be a polynomial map of the Riemann sphere of degree at least two. We prove that if / has a Siegel disk G on which the rotation number satisfies a diophantine condition, then the boundary of G contains a critical point.
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