Derivatives of rotation number of one parameter families of circle diffeomorphisms

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概要

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• We consider the rotation number ρ(t) of a diffeomorphism ft = Rt $\circ$ f, where Rt is the rotation by t and f is an orientation preserving C∞ diffeomorphism of the circle S1. We shall show that if ρ(t) is irrational$\limsup_{t′ → t}$ (ρ(t′) − ρ(t)) / (t′ − t) ≥ 1.

• 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文

著者

• Matsumoto Shigenori

  Department Of Applied Physics School Of Engineering The University Of Tokyo

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