On Variational Principles for Metric Mean Dimension

DOI10.1109/TIT.2022.3157786zbMath1505.94028arXiv2101.02610OpenAlexW3119565752MaRDI QIDQ5088553

Ruxi Shi

Publication date: 13 July 2022

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02610

zbMATH Keywords

variational principlesBrin-Katok local entropyKatok's entropyShapira's entropy

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Measures of information, entropy (94A17)

Related Items (4)

Some variational principles for the metric mean dimension of a semigroup action ⋮ Bowen’s equations for upper metric mean dimension with potential ⋮ The irregular set for maps with almost weak specification property has full metric mean dimension ⋮ A convex analysis approach to the metric mean dimension: limits of scaled pressures and variational principles

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