SYMMETRIES OF JULIA SETS FOR RATIONAL MAPS

被引：1

作者：

Ferreira, Gustavo Rodrigues ^{[1
,2
]}

机构：

[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, Brazil

[2] Imperial Coll London, Dept Math, London, England

来源：

CONFORMAL GEOMETRY AND DYNAMICS | 2023年 / 27卷

关键词：

D O I：

10.1090/ecgd/383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Since the 1980s, much progress has been done in completely deter-mining which functions share a Julia set. The polynomial case was completely solved in 1995, and it was shown that the symmetries of the Julia set play a central role in answering this question. The rational case remains open, but it was already shown to be much more complex than the polynomial one. Here, we offer partial extensions to Beardon's results on the symmetry group of Julia sets, and discuss them in the context of singularly perturbed maps.

引用

页码：145 / 160

页数：16

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