Renormalizations and Wandering Jordan Curves of Rational Maps | |
Cui, Guizhen1; Peng, Wenjuan1; Tan, Lei2 | |
2016-05-01 | |
Source Publication | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
ISSN | 0010-3616 |
Volume | 344Issue:1Pages:67-115 |
Abstract | We 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. |
DOI | 10.1007/s00220-016-2623-x |
Language | 英语 |
WOS Research Area | Physics |
WOS Subject | Physics, Mathematical |
WOS ID | WOS:000375559900003 |
Publisher | SPRINGER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22624 |
Collection | 数学所 |
Corresponding Author | Cui, Guizhen; Peng, Wenjuan; Tan, Lei |
Affiliation | 1.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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