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Published in 2018 at "Duke Mathematical Journal"
DOI: 10.1215/00127094-2018-0017
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…
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Keywords:
critical circle;
circle maps;
circle;
rigidity critical ... See more keywords