Constructing Non-Computable Julia Sets
<|reference_start|>Constructing Non-Computable Julia Sets: 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.<|reference_end|>
@article{braverman2006constructing,
    title={Constructing Non-Computable Julia Sets},
    author={Mark Braverman, Michael Yampolsky},
    journal={arXiv preprint arXiv:math/0604371},
    year={2006},
    archivePrefix={arXiv},
    eprint={math/0604371},
    primaryClass={math.DS cs.CC}
}