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Scaling functions, Gibbs measures, and Teichmuller spaces of circle endomorphisms
Cui, GZ; Jiang, YP; Quas, A
1999-07-01
发表期刊DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN1078-0947
卷号5期号:3页码:535-552
摘要We study the scaling function of a C1+h expanding circle endomorphism. We find necessary and sufficient conditions for a Holder continuous function on the dual symbolic space to be realised as the scaling function of a C1+h expanding circle endomorphism. We further represent the Teichmuller space of C1+h expanding circle endomorphisms by the space of Holder continuous functions on the dual symbolic space satisfying our necessary and sufficient conditions and study the completion of this Teichmuller space in the universal Teichmuller space.
关键词scaling function g-measure Teichmuller space
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000081326200007
出版者SOUTHWEST MISSOURI STATE UNIV
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/14064
专题数学所
通讯作者Cui, GZ
作者单位1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA
3.CUNY, Grad Sch, Dept Math, New York, NY 10036 USA
4.Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
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Cui, GZ,Jiang, YP,Quas, A. Scaling functions, Gibbs measures, and Teichmuller spaces of circle endomorphisms[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,1999,5(3):535-552.
APA Cui, GZ,Jiang, YP,&Quas, A.(1999).Scaling functions, Gibbs measures, and Teichmuller spaces of circle endomorphisms.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,5(3),535-552.
MLA Cui, GZ,et al."Scaling functions, Gibbs measures, and Teichmuller spaces of circle endomorphisms".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 5.3(1999):535-552.
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