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Rigidity of critical circle mappings, II

Edson de Faria·Welington de Melo
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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 $C^{1+α}$ conjugate for some $α>0$.

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Edson de Faria, Welington de Melo. 1997-11-15. Rigidity of critical circle mappings, II. https://arxiv.org/abs/math/9711215

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