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math.DS2015
Rotation number and lifts of a Fuchsian action of the modular group on the circle
Yoshifumi Matsuda
We characterize the semi-conjugacy class of a Fuchsian action of the modular group on the circle in terms of rotation numbers of two standard generators and that of their product.…
math.DS2008
Groups of real analytic diffeomorphisms of the circle with a finite image under the rotation number function
Yoshifumi Matsuda
We consider groups of orientation-preserving real analytic diffeomorphisms of the circle which have a finite image under the rotation number function. We show that if such a group…