Bernoulliness of when is an irrational rotation: towards an explicit isomorphism
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Publication:4991749
DOI10.1017/etds.2020.27zbMath1469.37008OpenAlexW3115329942WikidataQ114119232 ScholiaQ114119232MaRDI QIDQ4991749
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
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)
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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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