Entropy zero \(\times\) Bernoulli processes are closed in the \(d\)-metric

DOI10.1214/aop/1176996314zbMath0333.28007OpenAlexW1975510832MaRDI QIDQ1228681

Jean-Paul Thouvenot, Paul C. Shields

Publication date: 1975

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176996314

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05)

Related Items (8)

A complete classification of the two-point extensions of a multidimensional Bernoulli shift ⋮ Statistical properties of chaotic systems ⋮ Factors of Bernoulli shifts ⋮ On the stability of the weak Pinsker property ⋮ The limits in \(d\) of multi-step Markov chains ⋮ On attaining d ⋮ Examples in the entropy theory of countable group actions ⋮ The relative isomorphism theorem for Bernoulli flows

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