Constructing Non-Computable Julia Sets

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We completely characterize the conformal radii of Siegel disks in the family $$P_θ(z)=e^{2πiθ}z+z^2,$$ corresponding to {\bf computable} parameters $θ$. As a consequence, we constructively produce quadratic polynomials with {\bf non-computable} Julia sets.

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Dynamical Systems, Computational Complexity, 37F50

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http://salesiana.dossiersoluciones.com/handle/123456789/111596

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604371
 http://arxiv.org/abs/math/0604371

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arXiv