Computability of the Julia set. Nonrecurrent critical orbits

Details Computability of the Julia set. Nonrecurrent critical orbits Computability of the Julia set. Nonrecurrent critical orbits

2011-09-13

arxiv.org/abs/1109.2946v2

Mathematics

Dynamical Systems

Scientific paper

We prove that the Julia set of a rational function $f$ is computable in
polynomial time, assuming that the postcritical set of $f$ does not contain any
critical points or parabolic periodic orbits.

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