Universal systems for entropy intervals

DOI10.1007/s10884-015-9516-0zbMath1381.37016OpenAlexW2290163521WikidataQ59609980 ScholiaQ59609980MaRDI QIDQ1692097

Tomasz Downarowicz, Jacek Serafin

Publication date: 26 January 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-015-9516-0

zbMATH Keywords

entropytopological dynamical systemergodic automorphismuniversal systemergodic endomorphism

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (4)

Dynamics of metrics in measure spaces and scaling entropy ⋮ Non-existence of a universal zero entropy system for non-periodic amenable group actions ⋮ Mini-workshop: Entropy, information and control. Abstracts from the mini-workshop held March 4--10, 2018 ⋮ Topological and almost Borel universality for systems with the weak specification property

Cites Work

• Strictly ergodic models for non-invertible transformations
• Faces of simplexes of invariant measures
• Non-existence of a universal zero-entropy system
• Topological realizations of families of ergodic automorphisms, multitowers and orbit equivalence
• Minimal models for noninvertible and not uniquely ergodic systems
• Universal minimal topological dynamical systems
• Ergodic universality of some topological dynamical systems
• Measure-preserving homeomorphisms of the torus represent all finite entropy ergodic transformations
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