Une classe de systèmes pour lesquels la conjecture de Pinsker est vraie

DOI10.1007/BF02760798zbMath0329.28009WikidataQ123223249 ScholiaQ123223249MaRDI QIDQ1227079

Jean-Paul Thouvenot

Publication date: 1975

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

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Foundations of stochastic processes (60G05)

Related Items (16)

Affine Extensions of a Bernoulli Shift ⋮ Entropy pairs for a measure ⋮ A classification of the isometric extensions of a multidimensional Bernoulli shift ⋮ Weakly tame systems, their characterizations and applications ⋮ Multiple recurrence and convergence without commutativity ⋮ Complementability and Maximality in Different Contexts: Ergodic Theory, Brownian and Poly-Adic Filtrations ⋮ Measure concentration and the weak Pinsker property ⋮ Construction of some Chowla sequences ⋮ Produits semi-directs et application aux nilvariétés et aux tores en théorie ergodique ⋮ Decreasing nets of \(\sigma\)-algebras and their applications to ergodic theory ⋮ The Chowla and the Sarnak conjectures from ergodic theory point of view ⋮ Poisson-Pinsker factor and infinite measure preserving group actions ⋮ Statistical properties of chaotic systems ⋮ Factors of Bernoulli shifts ⋮ The relative isomorphism theorem for Bernoulli flows ⋮ On invariant measures forℬ-free systems

Cites Work

• Unnamed Item
• Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
• A mixing transformation for which Pinsker's conjecture fails
• Convolution of invariant measures, maximal entropy

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