| A characterization of hyperbolic rational maps | |
Cui, Guizhen2 ; Tan, Lei1
| |
| 2011-03-01 | |
| 发表期刊 | INVENTIONES MATHEMATICAE
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| ISSN | 0020-9910 |
| 卷号 | 183期号:3页码:451-516 |
| 摘要 | We give a topological characterization of rational maps with disconnected Julia sets. Our results extend Thurston's characterization of post-critically finite rational maps. In place of iteration on Teichmuller space, we use quasiconformal surgery and Thurston's original result. |
| DOI | 10.1007/s00222-010-0281-8 |
| 语种 | 英语 |
| 资助项目 | NNSF of China[10831004] ; NNSF of China[10721061] ; Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences ; EU Research Training Network |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000288745100001 |
| 出版者 | SPRINGER HEIDELBERG |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/12985 |
| 专题 | 数学所 |
| 通讯作者 | Tan, Lei |
| 作者单位 | 1.Univ Angers, CNRS, Lab Angevin Rech Math, UMR 6093,FR 2962, F-49045 Angers 01, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui, Guizhen,Tan, Lei. A characterization of hyperbolic rational maps[J]. INVENTIONES MATHEMATICAE,2011,183(3):451-516. |
| APA | Cui, Guizhen,&Tan, Lei.(2011).A characterization of hyperbolic rational maps.INVENTIONES MATHEMATICAE,183(3),451-516. |
| MLA | Cui, Guizhen,et al."A characterization of hyperbolic rational maps".INVENTIONES MATHEMATICAE 183.3(2011):451-516. |
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