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Rigidity of smooth critical circle maps

Published 14 Mar 2013 in math.DS | (1303.3470v1)

Abstract: We prove that any two $C3$ critical circle maps with the same irrational rotation number of bounded type and the same odd criticality are conjugate to each other by a $C{1+\alpha}$ circle diffeomorphism, for some universal $\alpha>0$.

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