Constructing locally connected non-computable Julia sets

Mark Braverman, Michael Yampolsky

Research output: Contribution to journalArticle

4 Scopus citations


A locally connected quadratic Siegel Julia set has a simple explicit topological model. Such a set is computable if there exists an algorithm to draw it on a computer screen with an arbitrary resolution. We constructively produce parameter values for Siegel quadratics for which the Julia sets are non-computable, yet locally connected.

Original languageEnglish (US)
Pages (from-to)513-532
Number of pages20
JournalCommunications In Mathematical Physics
Issue number2
StatePublished - Jul 13 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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