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arxiv: 1109.2946 · v2 · pith:U4QDUARInew · submitted 2011-09-13 · 🧮 math.DS

Computability of the Julia set. Nonrecurrent critical orbits

classification 🧮 math.DS
keywords criticaljuliaorbitsassumingcomputabilitycomputablecontainfunction
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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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