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

DOI10.1090/S0002-9939-2013-11472-3zbMath1277.37069arXiv1005.0585OpenAlexW2032962118MaRDI QIDQ2838962

Hiroki Kodama, Shigenori Matsumoto

Publication date: 4 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0585

zbMATH Keywords

diffeomorphismergodicityrotation numberminimality

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (3)

Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ On the invariant distributions of \(C^2\) circle diffeomorphisms of irrational rotation number ⋮ Secondary LS category of measured laminations

Cites Work

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• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• On one-dimensional dynamics in intermediary regularity
• On the question of ergodicity for minimal group actions on the circle

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