Computability of Julia sets

Details Computability of Julia sets Computability of Julia sets

2006-10-10

arxiv.org/abs/math/0610340v2

Mathematics

Dynamical Systems

Revised. To appear in Moscow Math. Journal

Scientific paper

In this paper we settle most of the open questions on algorithmic
computability of Julia sets. In particular, we present an algorithm for
constructing quadratics whose Julia sets are uncomputable. We also show that a
filled Julia set of a polynomial is always computable.

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