Entropy pairs for a measure

DOI10.1017/S0143385700008579zbMath0833.58022OpenAlexW1964039499MaRDI QIDQ4846519

Alejandro Maass, Bernard Host, Servet Martínez, Daniel J. Rudolph, François Blanchard

Publication date: 20 March 1996

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700008579

zbMATH Keywords

entropyinvariant measuretopological dynamical system

Mathematics Subject Classification ID

Related Items (36)

Entropy points and applications for free semigroup actions ⋮ Informal research statement ⋮ Co-induction in dynamical systems ⋮ A local variational relation and applications ⋮ A simple characterization of the set of \(\mu\)-entropy pairs and applications ⋮ Sub-additive and asymptotically sub-additive topological pressure for \(\mathbb{Z }^d\)-actions ⋮ A local conditional variational principle of pressures and local conditional equilibrium states ⋮ Measure-theoretic uniformly positive entropy on the space of probability measures ⋮ Relativization of dynamical properties ⋮ Sequence entropy tuples and mean sensitive tuples ⋮ Relative uniformly positive entropy of induced amenable group actions ⋮ The local variational principle of weighted entropy and its applications ⋮ Measure-theoretical sensitivity and equicontinuity ⋮ Topological pressure for sub-additive potentials of amenable group actions ⋮ Localization of mixing property via Furstenberg families ⋮ Local variational principle concerning entropy of a sofic group action ⋮ Variational principles for relative local pressure with subadditive potentials ⋮ A local variational principle of pressure and its applications to equilibrium states ⋮ Local entropy theory for a countable discrete amenable group action ⋮ Sequence entropy pairs and complexity pairs for a measure. ⋮ Homoclinic groups, IE groups, and expansive algebraic actions ⋮ Entropy points and applications ⋮ A relative local variational principle for topological pressure ⋮ Relative entropy tuples, relative u.p.e. and c.p.e. extensions ⋮ On mean sensitive tuples ⋮ Local entropy theory ⋮ Combinatorial lemmas and applications to dynamics ⋮ Combinatorial independence in measurable dynamics ⋮ Local pressure of subsets and measures ⋮ Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group ⋮ Family independence for topological and measurable dynamics ⋮ Local entropy via preimage structure ⋮ Local entropy theory of a random dynamical system ⋮ On mean sensitive tuples of discrete amenable group actions ⋮ Conditional entropy and fiber entropy for amenable group actions ⋮ A note on the existence of a largest topological factor with zero entropy

Cites Work

• Une classe de systèmes pour lesquels la conjecture de Pinsker est vraie
• An application of ergodic theory to probability theory
• Zero Entropy Factors of Topological Flows

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