Topological complexity of Julia sets |
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| Authors: | Jianyong Qiao |
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| Affiliation: | 1. Morningside Center of Mathematics, Chinese Academy of Science, 100080, Beijing, China
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| Abstract: | The topological structures of the Julia sets of rational and entire functions have been investigated and the complexity of the Julia sets of rational functions has been described. For entire functions, it is proved that the dynamics on the Fatou sets will influence the topological complexity of Julia sets. |
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