Shapes of Polynomial Julia Sets
Dynamical Systems
2015-08-05 v2
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.
Keywords
Cite
@article{arxiv.1209.0143,
title = {Shapes of Polynomial Julia Sets},
author = {Kathryn A. Lindsey},
journal= {arXiv preprint arXiv:1209.0143},
year = {2015}
}
Comments
13 pages, 3 figures