Topological complexity of Julia sets

被引：0

作者：

Jianyong Qiao

机构：

[1] Chinese Academy of Science,Morningside Center of Mathematics

来源：

Science in China Series A: Mathematics | 1997年 / 40卷

关键词：

rational function; entire function; iteration; Julia set;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1158 / 1165

页数：7

共 9 条

[1]

Eremenko A. E.(1990)The dynamics of analytic transformations Leningrad Math. J. 1 563-563

[2]

Lyubich M. Y.(1991)The components of a Julia set Ann, Acad. Sci. Fenn. Ser. A, I Math. 16 173-173

[3]

Beardon A. F.(1995)The buried points on the Julia sets of rational and entire functions Science in China 38 1409-1409

[4]

Qiao Jianyong(1996)On the complexity of the Julia sets of rational functions Advances in Mathematics 25 89-89

[5]

Qiao Jianyong(1995)Wandering domains in the iteration of compositions of entire functions Ann. Acad. Sci. Fenn. Ser. A, I Math. 20 149-149

[6]

Baker I. N.(1985)Quasiconformal homeomorphisms and dynamics I: Solution of the Fatou-Julia problem on wandering domains Ann. of Math. 122 401-401

[7]

Singh A. P.(1994)Stable sets for iteration of entire functions (in Chinese) Acta Math. Sinica 37 702-702

[8]

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[9]

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