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Critical points on the boundaries of Siegel disks

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 نشر من قبل ul
 تاريخ النشر 1995
  مجال البحث
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Let $f$ be a polynomial map of the Riemann sphere of degree at least two. We prove that if $f$ 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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