Critical points on the boundaries of Siegel disks
Bull. Amer. Math. Soc. (N.S.) 32 (1995) 317-321 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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| creator | RogersJr, James T |
| description | Bull. Amer. Math. Soc. (N.S.) 32 (1995) 317-321 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. |
| doi_str_mv | 10.48550/arxiv.math/9507224 |
| format | Article |
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prove that if $f$ has a Siegel disk $G$ on which the rotation number satisfies
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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.</abstract><doi>10.48550/arxiv.math/9507224</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | Critical points on the boundaries of Siegel disks |
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