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Poly-time computability of the Feigenbaum Julia set

Published online by Cambridge University Press:  21 July 2015

ARTEM DUDKO  and
MICHAEL YAMPOLSKY
ARTEM DUDKO
Affiliation:
Mathematics Department, Stony Brook University, USA
MICHAEL YAMPOLSKY
Affiliation:
Mathematics Department, University of Toronto, Canada email yampol@math.toronto.edu
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Abstract

We present the first example of a poly-time computable Julia set with a recurrent critical point: we prove that the Julia set of the Feigenbaum map is computable in polynomial time.

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Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 8 , December 2016 , pp. 2441 - 2462
Copyright
© Cambridge University Press, 2015 

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