Submitted by math_admin on Sat, 03/07/2020 - 08:55
preprint-id:
preprint-title:
Rigidity of critical circle maps
preprint-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 Lebesgue almost every rotation number.
preprint-year:
2015