The scenery factor of the [𝑇,𝑇⁻¹] transformation is not loosely Bernoulli

DOI10.1090/S0002-9939-03-07206-XzbMath1059.37001MaRDI QIDQ4425409

Christopher Hoffmann

Publication date: 10 September 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bernoulliloosely BernoulliKakutani equivalentshift scenery factor

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05)

Related Items (4)

Generalized Divide and Color models ⋮ Non-intersecting splitting σ-algebras in a non-Bernoulli transformation ⋮ The \(T,T^{-1}\)-process, finitary codings and weak Bernoulli ⋮ Retrieving random media

Cites Work

• Unnamed Item
• \(T,T^{-1}\) transformation is not loosely Bernoulli
• A direct proof that VWB processes are closed in the d-metric
• Mixing properties of a class of skew-products
• Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
• New \(K\)-automorphisms and a problem of Kakutani
• Counting the relatively finite factors of a Bernoulli shift
• Distinguishing sceneries by observing the scenery along a random walk path
• Relatively Finitely Determined Implies Relatively Very Weak Bernoulli
• Indistinguishable Sceneries
• The \(T,T^{-1}\)-process, finitary codings and weak Bernoulli

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