A direct proof that VWB processes are closed in the d-metric

DOI10.1007/BF02760663zbMath0498.28021OpenAlexW2011912538MaRDI QIDQ1171166

John Cronan Kieffer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02760663

zbMATH Keywords

shiftstationary processesd-bar-distancefinitely determined measuresvery weak Bernoulli process

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Stationary stochastic processes (60G10) Entropy and other invariants (28D20)

Related Items (4)

Mixing properties of the generalized \(T,T^{-1}\)-process ⋮ Measure concentration and the weak Pinsker property ⋮ The scenery factor of the [𝑇,𝑇⁻¹ transformation is not loosely Bernoulli] ⋮ Finitely fixed implies loosely Bernoulli, a direct proof

Cites Work

• Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
• Remarques sur les systèmes dynamiques donnes avec plusieurs facteurs
• Finite coding factors of Markov generators
• Finitely determined implies very weak Bernoulli
• Relatively Finitely Determined Implies Relatively Very Weak Bernoulli
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
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