Extreme partitions of a Lebesgue space and their application in topological dynamics

DOI10.12775/TMNA.2019.007zbMath1472.37015OpenAlexW2944057362WikidataQ127904175 ScholiaQ127904175MaRDI QIDQ2335881

Jerzy Szymański, Wojciech Bułatek, Brunon Kamiński

Publication date: 15 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1557367217

zbMATH Keywords

relative entropyentropy pairasymptotic relationtopological \(G\)-actionrelative Pinsker \(\sigma\)-algebra

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Measurable group actions (22F10) General theory of group and pseudogroup actions (22F05)

Cites Work

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• On the entropy theory of finitely-generated nilpotent group actions
• Folner's Conditions for Amenable Semi-Groups.
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS

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