Herman's Theory Revisited (Extension)
classification
🧮 math.DS
keywords
deltabetarotationbeta-circleclassconjugatediffeomorphism
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We prove that a $C^{3+\beta}$-smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class $D_\delta$, $0<\beta<\delta<1$, is $C^{2+\beta-\delta}$-smoothly conjugate to a rigid rotation.
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