Rigidity of critical circle mappings II

de Faria, Edson; de Melo, Welington

doi:10.1090/S0894-0347-99-00324-0

Rigidity of critical circle mappings II
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by Edson de Faria and Welington de Melo;

J. Amer. Math. Soc. 13 (2000), 343-370

DOI: https://doi.org/10.1090/S0894-0347-99-00324-0

Published electronically: November 23, 1999

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Abstract:

We prove that any two real-analytic critical circle maps with cubic critical point and the same irrational rotation number of bounded type are $C^{1+\alpha }$ conjugate for some $\alpha >0$.

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