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Abstract: We prove that a $C^{2+\alpha}$-smooth orientation-preserving circlediffeomorphism with rotation number in Diophantine class $D \delta$,$0<\delta<\alpha\le1$, is $C^{1+\alpha-\delta}$-smoothly conjugate to a rigidrotation. We also derive the most precise version of Denjoy-s inequality forsuch diffeomorphisms.



Author: Konstantin Khanin, Alexey Teplinsky

Source: https://arxiv.org/



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