English

Computability of the Julia set. Nonrecurrent critical orbits

Dynamical Systems 2011-09-28 v2

Abstract

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

Keywords

Cite

@article{arxiv.1109.2946,
  title  = {Computability of the Julia set. Nonrecurrent critical orbits},
  author = {Artem Dudko},
  journal= {arXiv preprint arXiv:1109.2946},
  year   = {2011}
}
R2 v1 2026-06-21T19:04:26.069Z