Shapes of polynomial Julia sets

  title={Shapes of polynomial Julia sets},
  author={Kathryn A. Lindsey},
  journal={Ergodic Theory and Dynamical Systems},
  pages={1913 - 1924}
  • K. Lindsey
  • Published 2014
  • Mathematics
  • Ergodic Theory and Dynamical Systems
Any Jordan curve in the complex plane can be approximated arbitrarily well in the Hausdorff topology by Julia sets of polynomials. Finite collections of disjoint Jordan domains can be approximated by the basins of attraction of rational maps. 
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