Renormalizations and Wandering Jordan Curves of Rational Maps

doi:10.1007/s00220-016-2623-x

CSpace > 数学所

	Renormalizations and Wandering Jordan Curves of Rational Maps
	Cui, Guizhen1 ; Peng, Wenjuan1 ; Tan, Lei 2
	2016-05-01
发表期刊	COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN	0010-3616
卷号	344 期号:1 页码:67-115
摘要	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
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000375559900003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22624
专题	数学所
通讯作者	Cui, Guizhen; Peng, Wenjuan; Tan, Lei
作者单位	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
推荐引用方式 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.