Herman’s theory revisited

被引：0
作者：
K. Khanin
A. Teplinsky
机构：
[1] University of Toronto,Department of Mathematics
[2] National Academy of Sciences of Ukraine,Institute of Mathematics
来源：
Inventiones mathematicae | 2009年 / 178卷
关键词：
Invariant Measure; Rotation Number; Rigid Rotation; Sharp Result; Ratio Distortion;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that a C2+α-smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class Dδ, 0≤δ<α≤1, α−δ≠1, is C1+α−δ-smoothly conjugate to a rigid rotation. This is the first sharp result on the smoothness of the conjugacy. We also derive the most precise version of Denjoy’s inequality for such diffeomorphisms.
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页码：333 / 344
页数：11
相关论文
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