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math.DS2025
The fibered rotation number
Pedro Duarte, Anton Gorodetski, Victor Kleptsyn
We provide an explicit formula for an increment of the fibered rotation number of a one-parameter family of circle cocycles over any ergodic transformation in terms of invariant me…
math.DS2024
Log Hölder continuity of the rotation number
Anton Gorodetski, Victor Kleptsyn
We consider one-parameter families of smooth circle cocycles over an ergodic transformation in the base, and show that their rotation numbers must be log-Hölder regular with respe…