Skew products over rotations with exotic properties

DOI10.1007/s10711-013-9835-4zbMath1373.37102arXiv1105.3632OpenAlexW2024664607MaRDI QIDQ2439355

Jon Chaika

Publication date: 14 March 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3632

zbMATH Keywords

Diophantine propertyinterval exchange

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the interval (37E05) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

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• Heaviness in symbolic dynamics: substitution and Sturmian systems
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• A 'minimal', non-uniquely ergodic interval exchange transformation
• Finite group extensions of irrational rotations
• Non-ergodic interval exchange transformations
• Hausdorff dimension of the set of nonergodic directions (with an Appendix by M. Boshernitzan)
• A condition for unique ergodicity of minimal symbolic flows
• Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2
• Interval exchange transformations

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