A dyadic endomorphism which is Bernoulli but not standard

DOI10.1007/BF02764084zbMath1013.37002OpenAlexW2064034809MaRDI QIDQ696297

Christopher Hoffmann, Daniel J. Rudolph

Publication date: 31 October 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764084

zbMATH Keywords

isomorphismBernoulli shiftinvertible extension

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Symbolic dynamics (37B10)

Related Items

Standardness as an invariant formulation of independence, Informal research statement, Classification of backward filtrations and factor filtrations: examples from cellular automata, The theory of filtrations of subalgebras, standardness, and independence, Bernoulliness of when is an irrational rotation: towards an explicit isomorphism

Cites Work

• \(T,T^{-1}\) transformation is not loosely Bernoulli
• A non-Bernoulli skew product which is loosely Bernoulli
• Factors of Bernoulli shifts
• Bernoullis are standard when entropy is not an obstruction
• ${\bi T},{\bi T}^{\bf -1}$ is not standard
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item