Minimal 𝐶¹-diffeomorphisms of the circle which admit measurable fundamental domains

Kodama, Hiroki; Matsumoto, Shigenori

doi:10.1090/S0002-9939-2013-11472-3

Minimal $C^1$-diffeomorphisms of the circle which admit measurable fundamental domains
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by Hiroki Kodama and Shigenori Matsumoto PDF

Proc. Amer. Math. Soc. 141 (2013), 2061-2067 Request permission

Abstract:

We construct, for each irrational number $\alpha$, a minimal $C^1$-diffeo- morphism of the circle with rotation number $\alpha$ which admits a measurable fundamental domain with respect to the Lebesgue measure.

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