r-entropy, equipartition, and Ornstein's isomorphism theorem in \(\mathbb{R}^n\)

DOI10.1007/BF02762054zbMath0445.28019OpenAlexW2350938325MaRDI QIDQ1145246

Jacob Feldman

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf02762054

zbMATH Keywords

entropyBernoulli actionsOrnstein's isomorphism theoremapproximate r-entropyprobability-preserving group actionsecond order equipartition theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) General groups of measure-preserving transformations (28D15) Entropy and other invariants (28D20)

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Topological \(r\)-entropy and measure theoretic \(r\)-entropy of flows, Topological \(R\)-entropy and topological entropy of free semigroup actions, On the entropy of actions of nilpotent Lie groups and their lattice subgroups, Entropy and isomorphism theorems for actions of amenable groups, Geometry and dynamics of admissible metrics in measure spaces, A complete classification of the two-point extensions of a multidimensional Bernoulli shift, Some invariants of Kakutani equivalence, Topological \(r\)-entropy and measure-theoretic \(r\)-entropy of a continuous map, Time change invariants for measure preserving flows, Statistical properties of chaotic systems, Scaling entropy and automorphisms with pure point spectrum, The relative isomorphism theorem for Bernoulli flows, The centralizer of a rank-one flow

Cites Work

• Commuting measure-preserving transformations
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• [https://portal.mardi4nfdi.de/wiki/Publication:5676460 Entropie d'un groupe ab�lien de transformations]
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