Rigidity of smooth critical circle maps

被引：14
作者：
Guarino, Pablo [1 ]
de Melo, Welington [1 ]
机构：
[1] Univ Fed Fluminense, Inst Matemat & Estat, Niteroi, RJ, Brazil
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2017年 / 19卷 / 06期
基金：
巴西圣保罗研究基金会;
关键词：
Critical circle maps; smooth rigidity; renormalization; commuting pairs; QUASI-PERIODICITY; COMPLEX BOUNDS; RENORMALIZATION; DIFFEOMORPHISMS; UNIVERSALITY; SET;
D O I：
10.4171/JEMS/704
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that any two C-3 critical circle maps with the same irrational rotation number of bounded type and the same odd criticality are conjugate to each other by a C1+alpha circle diffeomorphism, for some universal alpha > 0.
引用
收藏
页码：1729 / 1783
页数：55
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