Possible entropy functions

DOI10.1007/BF02776059zbMath1054.37004MaRDI QIDQ1424039

Tomasz Downarowicz, Jacek Serafin

Publication date: 8 March 2004

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

zbMATH Keywords

entropyChoquet simplexToeplitz flowexpansive systemsminimal dimensional system

Mathematics Subject Classification ID

Entropy and other invariants (28D20) 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) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (14)

On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies ⋮ On density of ergodic measures and generic points ⋮ Arcwise connectedness of the set of ergodic measures of hereditary shifts ⋮ Dynamics in dimension zero A survey ⋮ Deterministic functions on amenable semigroups and a generalization of the Kamae-Weiss theorem on normality preservation ⋮ Embedding Toeplitz systems in triangular maps: the last but one problem of the Sharkovsky classification program ⋮ Orders of accumulation of entropy on manifolds ⋮ All minimal Cantor systems are slow ⋮ Rank as a function of measure ⋮ Generic stationary measures and actions ⋮ Zero-dimensional isomorphic dynamical models ⋮ Symbolic extensions and continuity properties of the entropy ⋮ Smooth interval maps have symbolic extensions ⋮ The symbolic extension theory in topological dynamics

Cites Work

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• Quasi-uniform convergence in compact dynamical systems
• Systèmes projectifs d'ensembles convexes compacts
• Topological conditional entropy
• Factors of Toeplitz flows and other almost 1-1 extensions over group rotations
• Bratteli–Vershik models for Cantor minimal systems: applications to Toeplitz flows
• A criterion for Toeplitz flows to be topologically isomorphic and applications
• 0-1-sequences of Toeplitz type
• Lectures on Choquet's theorem

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