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Invariant Jordan curves of Sierpinski carpet rational maps
Gao, Yan1; Haissinsky, Peter2; Meyer, Daniel3; Zeng, Jinsong4
2018-04-01
Source PublicationERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN0143-3857
Volume38Pages:583-600
AbstractIn 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.
DOI10.1017/etds.2016.47
Language英语
Funding ProjectANR 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000427509200008
PublisherCAMBRIDGE UNIV PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29859
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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