Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli

DOI10.1007/BF02760797zbMath0329.28008OpenAlexW2025778621MaRDI QIDQ1227078

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf02760797

Mathematics Subject Classification ID

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

Related Items

A $K$ counterexample machine ⋮ Isomorphism of random walks ⋮ A family of nonisomorphic Markov random fields ⋮ Affine Extensions of a Bernoulli Shift ⋮ Stability of the weak Pinsker property for flows ⋮ On the entropy of actions of nilpotent Lie groups and their lattice subgroups ⋮ Almost block independence and Bernoullicity of $\mathbb{Z}^ d$-actions by automorphisms of compact Abelian groups ⋮ A counterexample to a positive entropy skew product generalization of the Pinsker conjecture ⋮ Lowering topological entropy over subsets revisited ⋮ Unnamed Item ⋮ Special representation of an aperiodic automorphism of a Lebesgue space ⋮ If a finite extension of a Bernoulli shift has no finite rotation factors, it is Bernoulli ⋮ Classifying the isometric extensions of a Bernoulli shift ⋮ Stability of m-equivalence to the weak Pinsker property ⋮ Unnamed Item ⋮ A classification of the isometric extensions of a multidimensional Bernoulli shift ⋮ An ergodic system is dominant exactly when it has positive entropy ⋮ The Brin Prize works of Tim Austin ⋮ The isomorphism theorem for relatively finitely determined $Z^ n$- actions ⋮ A complete classification of the two-point extensions of a multidimensional Bernoulli shift ⋮ Spectrum of positive entropy multidimensional dynamical systems with a mixed time ⋮ Stochastic stability of Bernoulli toral linked twist maps of finite and infinite entropy ⋮ Measure concentration and the weak Pinsker property ⋮ A direct proof that VWB processes are closed in the d-metric ⋮ A special family of ergodic flows and their d-limits ⋮ Two facts concerning the transformations which satisfy the weak Pinsker property ⋮ Produits semi-directs et application aux nilvariétés et aux tores en théorie ergodique ⋮ Relative weak mixing is generic ⋮ Partitions of the phase space of a measure preserving $\mathbb{Z}^d$-action into towers ⋮ ON THE CENTRAL AND LOCAL LIMIT THEOREM FOR MARTINGALE DIFFERENCE SEQUENCES ⋮ Dyadic equivalence to completely positive entropy ⋮ Quasi-factors and relative entropy for infinite-measure-preserving transformations ⋮ Unnamed Item ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4401805 Principe variationnel et syst�mes dynamiques symboliques] ⋮ A General Condition for Lifting Theorems ⋮ Statistical properties of chaotic systems ⋮ Factors of Bernoulli shifts ⋮ Une classe de systèmes pour lesquels la conjecture de Pinsker est vraie ⋮ Remarques sur les systèmes dynamiques donnes avec plusieurs facteurs ⋮ Two nonisomorphic K-automorphisms with isomorphic squares ⋮ The structure of skew products with ergodic group automorphisms ⋮ On the stability of the weak Pinsker property ⋮ The limits in $d$ of multi-step Markov chains ⋮ The scenery factor of the [𝑇,𝑇⁻¹ transformation is not loosely Bernoulli] ⋮ Counting the relatively finite factors of a Bernoulli shift ⋮ A skew-product which is Bernoulli ⋮ A topological lens for a measure-preserving system ⋮ Finite coding factors of Markov generators ⋮ Positive entropy actions of countable groups factor onto Bernoulli shifts ⋮ Examples in the entropy theory of countable group actions ⋮ Restricted orbit changes of ergodic ℤ^d-actions to achieve mixing and completely positive entropy ⋮ The structure of strongly stationary systems ⋮ The relative isomorphism theorem for Bernoulli flows ⋮ A mixing Markov chain with exponentially decaying return times is finitarily Bernoulli ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4766476 Principe variationnel et syst�mes dynamiques symboliques] ⋮ The equivalence theorem for ℤ^d-actions of positive entropy ⋮ Coalescence of circle extensions of measure-preserving transformations ⋮ The spectrum of completely positive entropy actions of countable amenable groups ⋮ Entropy and actions of sofic groups ⋮ Structure de certains produits semi directs

Cites Work