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On computational complexity of Cremer Julia sets

Volume 252 / 2021

Artem Dudko, Michael Yampolsky Fundamenta Mathematicae 252 (2021), 343-353 MSC: Primary 37F50; Secondary 68Q17. DOI: 10.4064/fm829-12-2019 Published online: 15 April 2020

Abstract

We find an abundance of Cremer Julia sets of an arbitrarily high computational complexity.

Authors

  • Artem DudkoInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    e-mail
  • Michael YampolskyDepartment of Mathematics
    University of Toronto
    40 St. George Street
    Toronto, ON, Canada M5S 2E4
    e-mail

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