Finitely determined implies very weak Bernoulli

DOI10.1007/BF02756830zbMath0283.60072MaRDI QIDQ1844503

Benjamin Weiss, Donald S. Ornstein

Publication date: 1974

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

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35)

Related Items (23)

Mixing properties of the generalized \(T,T^{-1}\)-process ⋮ Proper -colorings of are Bernoulli ⋮ Entropy rate of product of independent processes ⋮ Bernoulli property of subadditive equilibrium states ⋮ Versik processes: First steps ⋮ A complete classification of the two-point extensions of a multidimensional Bernoulli shift ⋮ Complementability and Maximality in Different Contexts: Ergodic Theory, Brownian and Poly-Adic Filtrations ⋮ A direct proof that VWB processes are closed in the d-metric ⋮ On a very weak bernoulli condition^† ⋮ Unilateral codings of Bernoulli systems ⋮ Statistical properties of chaotic systems ⋮ Factors of Bernoulli shifts ⋮ New \(K\)-automorphisms and a problem of Kakutani ⋮ The structure of skew products with ergodic group automorphisms ⋮ -Convergence to equilibrium and space—time bernoullicity for spin systems in the M < ε case ⋮ The β-mixing rate of STIT tessellations ⋮ Almost block independence ⋮ Very weak Bernoulli for amenable groups ⋮ Borel Structures and Invariants for Measurable Transformations ⋮ On the strong mixing and weak Bernoulli conditions ⋮ On disjointness of dynamical systems ⋮ Finitely fixed implies loosely Bernoulli, a direct proof ⋮ Some remarks on output measures

Cites Work

• Unnamed Item
• Subsequences of normal sequences
• Geodesic flows are Bernoullian
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Convolution of invariant measures, maximal entropy

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