The differentiability of the conjugation of certain diffeomorphisms of the circle
Yitzhak KatznelsonMathematics Department, Stanford University, Stanford CA 94305, USADonald OrnsteinMathematics Department, Stanford University, Stanford CA 94305, USA
1989en
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Abstract Our purpose in this paper is to present a more or less complete solution to the problem of the smoothness of the conjugation of aperiodic diffeomorphisms of the circle. We show that the rotation number and the smoothness of the diffeomorphism guarantee a certain smoothness for the homeomorphism which conjugates it with a rigid rotation, and obtain the best smoothness that can be guaranteed.
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