ON THE TOPOLOGY OF WANDERING JULIA COMPONENTS
文献类型：期刊论文
| 作者 | Cui, Guizhen1 ; Peng, Wenjuan1; Tan, Lei2
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2011-03-10 |
| 卷号 | 29期号:3页码:929-952 |
| 关键词 | Holomorphic dynamics iteration of rational maps topology of wandering Julia components |
| ISSN号 | 1078-0947 |
| DOI | 10.3934/dcds.2011.29.929 |
| 英文摘要 | It is known that for a rational map f with a disconnected Julia set, the set of wandering Julia components is uncountable. We prove that all but countably many of them have a simple topology, namely having one or two complementary components. We show that the remaining countable subset Sigma is backward invariant. Conjecturally Sigma does not contain an infinite orbit. We give a very strong necessary condition for Sigma to contain an infinite orbit, thus proving the conjecture for many different cases. We provide also two sufficient conditions for a Julia component to be a point. Finally we construct several examples describing different topological structures of Julia components. |
| 资助项目 | NSF of China[10831004] ; NSF of China[10721061] ; Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences ; China Postdoctoral Science Special Foundation[201003020] ; EU Research Training Network CODY, Conformal Structures and Dynamics |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000284619800012 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12841]  |
| 专题 | 数学所 |
| 通讯作者 | Cui, Guizhen |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Angers, Dept Math, F-49045 Angers, France |
| 推荐引用方式 GB/T 7714 | Cui, Guizhen,Peng, Wenjuan,Tan, Lei. ON THE TOPOLOGY OF WANDERING JULIA COMPONENTS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2011,29(3):929-952. |
| APA | Cui, Guizhen,Peng, Wenjuan,&Tan, Lei.(2011).ON THE TOPOLOGY OF WANDERING JULIA COMPONENTS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,29(3),929-952. |
| MLA | Cui, Guizhen,et al."ON THE TOPOLOGY OF WANDERING JULIA COMPONENTS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 29.3(2011):929-952. |
入库方式： OAI收割
来源：数学与系统科学研究院
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