### Abstract

A locally connected quadratic Siegel Julia set has a simple explicit topological model. Such a set is computable if there exists an algorithm to draw it on a computer screen with an arbitrary resolution. We constructively produce parameter values for Siegel quadratics for which the Julia sets are non-computable, yet locally connected.

Original language | English (US) |
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Pages (from-to) | 513-532 |

Number of pages | 20 |

Journal | Communications In Mathematical Physics |

Volume | 291 |

Issue number | 2 |

DOIs | |

State | Published - Jul 13 2009 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Braverman, M., & Yampolsky, M. (2009). Constructing locally connected non-computable Julia sets.

*Communications In Mathematical Physics*,*291*(2), 513-532. https://doi.org/10.1007/s00220-009-0858-5