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Derivatives of rotation number of one parameter families of circle diffeomorphisms

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Publication:418264
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DOI10.2996/KMJ/1333027257zbMath1244.37026arXiv1103.2591OpenAlexW1982638492MaRDI QIDQ418264

Shigenori Matsumoto

Publication date: 28 May 2012

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2591


zbMATH Keywords

Hausdorff dimensioninvariant measurerotation numbercircle diffeomorphismLiouville numberDenjoy distortion lemma


Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Rotation numbers and vectors (37E45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)


Related Items (2)

Arnold maps with noise: differentiability and non-monotonicity of the rotation number ⋮ One-parameter families of circle diffeomorphisms with strictly monotone rotation number







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