Almost block independence for the three dot \(\mathbb Z^ 2\) dynamical system

DOI10.1007/BF02782855zbMath0790.28013WikidataQ61835187 ScholiaQ61835187MaRDI QIDQ1196339

Thomas B. Ward

Publication date: 9 December 1992

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

zbMATH Keywords

dynamical systemcommuting automorphismsBernoulli shiftmeasure preserving actionblock independence\(\mathbb Z^ 2\) actions

Mathematics Subject Classification ID

Topological dynamics (37B99) General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (5)

Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups ⋮ Isomorphism rigidity in entropy rank two ⋮ The Bernoulli property for expansive \(\mathbb Z^ 2\) actions on compact groups ⋮ A family of Markov shifts (almost) classified by periodic points ⋮ Periodic points classify a family of Markov shifts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A complete classification of the two-point extensions of a multidimensional Bernoulli shift
• Entropy and isomorphism theorems for actions of amenable groups
• Mixing automorphisms of compact groups and a theorem by Kurt Mahler
• Mahler measure and entropy for commuting automorphisms of compact groups
• Some results on affine transformations of compact groups
• The structure of skew products with ergodic group automorphisms
• Weak Pinsker property and Markov processes
• Ergodic automorphisms of the infinite torus are Bernoulli
• Ergodic automorphisms of \(T^ n\) are Bernoulli shifts
• Commuting measure-preserving transformations
• Mixing Markov shifts of kernel type are Bernoulli
• Automorphisms of compact groups
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• Automorphisms of Compact Abelian Groups and Affine Varieties
• Almost block independence
• Metric properties of endomorphisms of compact commutative groups

This page was built for publication: Almost block independence for the three dot \(\mathbb Z^ 2\) dynamical system