Bernoulliness of when is an irrational rotation: towards an explicit isomorphism

DOI10.1017/etds.2020.27zbMath1469.37008OpenAlexW3115329942WikidataQ114119232 ScholiaQ114119232MaRDI QIDQ4991749

Christophe Leuridan

Publication date: 3 June 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2020.27

zbMATH Keywords

irrational rotationsskew productsdyadic filtrations

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Continued fractions and generalizations (11J70) Dynamical systems involving maps of the interval (37E05) Rotation numbers and vectors (37E45) Relations between ergodic theory and number theory (37A44)

Related Items

When T is an irrational rotation, and are Bernoulli: explicit isomorphisms

Cites Work

• A probability path
• \(T,T^{-1}\) transformation is not loosely Bernoulli
• A dyadic endomorphism which is Bernoulli but not standard
• Mixing properties of a class of skew-products
• Skew products of Bernoulli shifts with rotations. II
• New \(K\)-automorphisms and a problem of Kakutani
• Uniform endomorphisms which are isomorphic to a Bernoulli shift
• Skew products of Bernoulli shifts with rotations
• On successive settings of an arc on the circumference of a circle
• ${\bi T},{\bi T}^{\bf -1}$ is not standard
• The Three Gap Theorem and the Space of Lattices
• Automorphisms of the Bernoulli endomorphism and a class of skew-products
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