Invariant Jordan curves of Sierpinski carpet rational maps

doi:10.1017/etds.2016.47

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	Invariant Jordan curves of Sierpinski carpet rational maps
	Gao, Yan 1; Haissinsky, Peter 2; Meyer, Daniel 3; Zeng, Jinsong 4
	2018-04-01
发表期刊	ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN	0143-3857
卷号	38 页码:583-600
摘要	In this paper, we prove that if R : ($) over capC -> ($) over capC is a postcritically finite rational map with Julia set homeomorphic to the Sierpinski carpet, then there is an integer n(0), such that, for any n >= n(0), there exists an R-n-invariant Jordan curve Gamma containing the postcritical set of R.
DOI	10.1017/etds.2016.47
语种	英语
资助项目	ANR project 'GDSous/GSG'[12-BS01-0003-01] ; ANR project 'Lambda'[13-BS01-0002] ; Academy of Finland via the Centre of Excellence in Analysis and Dynamics Research[271983] ; Deutsche Forschungsgemeinschaft[DFG-ME 4188/1-1]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000427509200008
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29859
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, Yan
作者单位	1.Sichuan Univ, Math Sch, Chengdu 610065, Sichuan, Peoples R China 2.Univ Aix Marseille, I2M, 39 Rue Frederic Joliot Curie, F-13453 Marseille 13, France 3.Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Gao, Yan,Haissinsky, Peter,Meyer, Daniel,et al. Invariant Jordan curves of Sierpinski carpet rational maps[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS,2018,38:583-600.
APA	Gao, Yan,Haissinsky, Peter,Meyer, Daniel,&Zeng, Jinsong.(2018).Invariant Jordan curves of Sierpinski carpet rational maps.ERGODIC THEORY AND DYNAMICAL SYSTEMS,38,583-600.
MLA	Gao, Yan,et al."Invariant Jordan curves of Sierpinski carpet rational maps".ERGODIC THEORY AND DYNAMICAL SYSTEMS 38(2018):583-600.