Articles with "critical circle" as a keyword



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Rigidity of critical circle maps

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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… read more here.

Keywords: critical circle; circle maps; circle; rigidity critical ... See more keywords