Institute for Mathematical Sciences

Preprint ims15-04

Pablo Guarino, Marco Martens, and Welington de Melo
Rigidity of critical circle maps

Abstract: We prove that any two C^4 critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a C^1 circle diffeomorphism. The conjugacy is C^{1+\alpha} for Lebesgue almost every rotation number.

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