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On the cycles of components of disconnected Julia sets
Mathematische Annalen ( IF 1.4 ) Pub Date : 2020-09-04 , DOI: 10.1007/s00208-020-02073-7
Guizhen Cui , Wenjuan Peng

For any integers $d\ge 3$ and $n\ge 1$, we construct a hyperbolic rational map of degree $d$ such that it has $n$ cycles of the connected components of its Julia set except single points and Jordan curves.

中文翻译:

关于不连接 Julia 集的分量的循环

对于任何整数 $d\ge 3$ 和 $n\ge 1$,我们构造了一个度数为 $d$ 的双曲有理映射,使得它除了单点和 Jordan 曲线之外,它的 Julia 集的连通分量具有 $n$ 个循环.
更新日期:2020-09-04
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