HYPERBOLIC COMPONENTS OF McMULLEN MAPS

被引：1

作者：

Qiu, Weiyuan ^{[1
]}

Roesch, Pascale ^{[2
]}

Wang, Xiaoguang ^{[3
]}

Yin, Yongcheng ^{[3
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Univ Aix Marseille, CMI, Technopole Chateau Gombert, F-13453 Marseille 13, France

[3] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2015年 / 48卷 / 03期

关键词：

JULIA; DYNAMICS; RIGIDITY; DOMAIN; PROOF; SETS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we completely settle a question raised by B. Devaney. We prove that all the hyperbolic components are Jordan domains in the family of rational maps of McMullen type. Moreover, we give a precise description of all the rational maps on the outer boundary. It follows that the cusps are dense on the outer boundary.

引用

页码：703 / 737

页数：35

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