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Moscow Mathematical Journal, 2008, Volume 8, Number 2, Pages 185–231
DOI: https://doi.org/10.17323/1609-4514-2008-8-2-185-231 (Mi mmj311) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Computability of Julia sets

M. Sh. Braverman, M. Yampolsky

Department of Mathematics, University of Toronto
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DOI: https://doi.org/10.17323/1609-4514-2008-8-2-185-231
Abstract: In this paper we settle most of the open questions on algorithmic computability of Julia sets. In particular, we present an algorithm for constructing quadratics whose Julia sets are uncomputable. We also show that a filled Julia set of a polynomial is always computable.
Key words and phrases: Julia set, computability, complexity.
Received: January 12, 2007
Bibliographic databases:
MSC: Primary 37F50; Secondary 68Q17
Language: English
Citation: M. Sh. Braverman, M. Yampolsky, “Computability of Julia sets”, Mosc. Math. J., 8:2 (2008), 185–231
Citation in format AMSBIB
\Bibitem{BraYam08}
\by M.~Sh.~Braverman, M.~Yampolsky
\paper Computability of Julia sets
\jour Mosc. Math.~J.
\yr 2008
\vol 8
\issue 2
\pages 185--231
\mathnet{http://mi.mathnet.ru/mmj311}
\crossref{https://doi.org/10.17323/1609-4514-2008-8-2-185-231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2462435}
\zmath{https://zbmath.org/?q=an:1161.37035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261829700001}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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