Constructing Non-Computable Julia Sets

Details Constructing Non-Computable Julia Sets Constructing Non-Computable Julia Sets

2006-04-17

arxiv.org/abs/math/0604371v1

Mathematics

Dynamical Systems

Scientific paper

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

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