Versik processes: First steps

DOI10.1007/BF02762046zbMath0461.60054MaRDI QIDQ1152635

Arthur Rothstein

Publication date: 1980

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

zbMATH Keywords

finite-state stationary stochastic processes

Mathematics Subject Classification ID

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

Related Items (6)

A class of not local rank one automorphisms arising from continuous substitutions ⋮ Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups ⋮ A zero-entropy mixing transformation whose product with itself is loosely Bernoulli ⋮ Systèmes dynamiques gaussiens d'entropie nulle, lâchement et non lâchement Bernoulli ⋮ Versik Processes and Very Weak Bernoulli Processes with Summable Rates are Independent ⋮ Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli

Cites Work

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• Mixing properties of a class of skew-products
• Ergodic theory on compact spaces
• New \(K\)-automorphisms and a problem of Kakutani
• Two nonisomorphic K-automorphisms with isomorphic squares
• Finitely determined implies very weak Bernoulli
• A mixing transformation for which Pinsker's conjecture fails
• An uncountable family of K-automorphisms
• On Entropy and Generators of Measure-Preserving Transformations

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