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Rigidity of critical circle maps (1511.02792v1)
Published 9 Nov 2015 in math.DS
Abstract: We prove that any two $C4$ critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a $C1$ circle diffeomorphism. The conjugacy is $C{1+\alpha}$ for Lebesgue almost every rotation number.