Denjoy \(C^1\) diffeomorphisms of the circle and McDuff's question

DOI10.1016/j.exmath.2013.12.005zbMath1322.37017OpenAlexW1992398306MaRDI QIDQ2258856

Konstantin Athanassopoulos

Publication date: 27 February 2015

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2013.12.005

zbMATH Keywords

rotation numbercohomological equationCantor minimal setDenjoy diffeomorphism

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Rotation numbers and vectors (37E45)

Related Items (3)

Smooth generalized interval exchange transformations with wandering intervals, from explicit derived from pseudo-Anosov maps ⋮ Logarithmic bounds for ergodic sums of certain flows on the torus: a short proof ⋮ Integrability of moduli and regularity of Denjoy counterexamples

Cites Work

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• \(C^1\)-minimal subsets of the circle
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Regular interval Cantor sets of \(S ^{1}\) and minimality
• New examples of Cantor sets in \(S^{1}\) that are not \(C^{1}\)-minimal
• Topological conjugacy of circle diffeomorphisms
• Denjoy minimal sets are far from affine

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