Shapes of polynomial Julia sets

Shapes of polynomial Julia sets
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多项式 Julia 集的形状

DOI:
10.1017/etds.2014.8
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发表时间:
2012
影响因子:
0.9
通讯作者:
Kathryn A. Lindsey
Kathryn A. Lindsey
中科院分区:
数学2区
文献类型:
--
作者:
Kathryn A. Lindsey

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复平面中的任何乔丹曲线都可以通过 Julia 多项式集在 Hausdorff 拓扑中任意良好地逼近。不相交乔丹域的有限集合可以通过有理图的吸引力盆地来近似。
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.