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Shapes of polynomial Julia sets

Published online by Cambridge University Press:  04 August 2014

KATHRYN A. LINDSEY
KATHRYN A. LINDSEY*
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14853, USA email [email protected]
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Abstract

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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 35 , Issue 6 , September 2015 , pp. 1913 - 1924
Copyright
© Cambridge University Press, 2014 

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References

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