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Renormalizations and Wandering Jordan Curves of Rational Maps
Cui, Guizhen1; Peng, Wenjuan1; Tan, Lei2
2016-05-01
Source PublicationCOMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN0010-3616
Volume344Issue:1Pages:67-115
AbstractWe realize a dynamical decomposition for a post-critically finite rational map which admits a combinatorial decomposition. We split the Riemann sphere into two completely invariant subsets. One is a subset of the Julia set consisting of uncountably many Jordan curve components. Most of them are wandering. The other consists of components that are pullbacks of finitely many renormalizations, together with possibly uncountably many points. The quotient action on the decomposed pieces is encoded by a dendrite dynamical system. We also introduce a surgery procedure to produce post-critically finite rational maps with wandering Jordan curves and prescribed renormalizations.
DOI10.1007/s00220-016-2623-x
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000375559900003
PublisherSPRINGER
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22624
Collection数学所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Angers, UMR CNRS 6093, LAREMA, 2 Bd Lavoisier, F-49045 Angers, France
Recommended Citation
GB/T 7714
Cui, Guizhen,Peng, Wenjuan,Tan, Lei. Renormalizations and Wandering Jordan Curves of Rational Maps[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2016,344(1):67-115.
APA Cui, Guizhen,Peng, Wenjuan,&Tan, Lei.(2016).Renormalizations and Wandering Jordan Curves of Rational Maps.COMMUNICATIONS IN MATHEMATICAL PHYSICS,344(1),67-115.
MLA Cui, Guizhen,et al."Renormalizations and Wandering Jordan Curves of Rational Maps".COMMUNICATIONS IN MATHEMATICAL PHYSICS 344.1(2016):67-115.
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