Quasifactors of ergodic systems with positive entropy

DOI10.1007/BF02787413zbMath1022.37006MaRDI QIDQ1812263

Benjamin Weiss, Shmuel Glasner

Publication date: 27 October 2003

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

zbMATH Keywords

quasifactorsmeasure-preserving systemsjoiningsweak Pinsker propertyweak-mixing system

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (7)

Equidistribution of singular measures on nilmanifolds and skew products ⋮ Measure-theoretic uniformly positive entropy on the space of probability measures ⋮ Zero sequence entropy and entropy dimension ⋮ Minimal spaces with cyclic group of homeomorphisms ⋮ Quasi-factors and relative entropy for infinite-measure-preserving transformations ⋮ Characterization of quasifactors ⋮ Minimal transformations with no common factor need not be disjoint

Cites Work

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• Homogeneous projective factors for actions of semi-simple Lie groups
• Two Bernoulli shifts with infinite entropy are isomorphic
• Symmetric Measures on Cartesian Products
• Stability of the weak Pinsker property for flows
• Zero-error stationary coding over stationary channels
• Entropy theory without a past
• Quasi-Factors of Zero Entropy Systems

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