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arXiv · 1303.3470

Rigidity of smooth critical circle maps

Pablo Guarino·Welington de Melo
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Abstract

We prove that any two $C^3$ critical circle maps with the same irrational rotation number of bounded type and the same odd criticality are conjugate to each other by a $C^{1+α}$ circle diffeomorphism, for some universal $α>0$.

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Pablo Guarino, Welington de Melo. 2013-03-14. Rigidity of smooth critical circle maps. https://doi.org/10.4171/jems%2F704

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