A characterization of hyperbolic rational maps

doi:10.1007/s00222-010-0281-8

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	A characterization of hyperbolic rational maps
	Cui, Guizhen2 ; Tan, Lei 1
	2011-03-01
发表期刊	INVENTIONES MATHEMATICAE
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.