A generic-dimensional property of the invariant measures for circle diffeomorphisms

DOI10.3934/JMD.2013.7.553zbMath1287.37027arXiv1101.4463OpenAlexW2964160757MaRDI QIDQ2437967

Shigenori Matsumoto

Publication date: 10 March 2014

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4463

zbMATH Keywords

Hausdorff dimensioninvariant measurerotation numbergeneric propertycircle diffeomorphismLiouville numberfast approximation

Mathematics Subject Classification ID

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

Related Items (2)

Type III representations and modular spectral triples for the noncommutative torus ⋮ Further dense properties of the space of circle diffeomorphisms with a Liouville rotation number

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