Variational principles for amenable metric mean dimensions

DOI10.1016/j.jde.2022.02.046zbMath1497.37032arXiv1708.02087OpenAlexW2744673624MaRDI QIDQ2669937

Dongmei Zheng, Dou Dou, Ercai Chen

Publication date: 9 March 2022

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

Full work available at URL: https://arxiv.org/abs/1708.02087

zbMATH Keywords

mutual informationvariational principlemean dimensionamenable group actionrate distortion function

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dimension theory of smooth dynamical systems (37C45) Measurable group actions (22F10)

Related Items (5)

Topological complexity: entropy point, metric mean dimension in control systems ⋮ Mean dimension theory in symbolic dynamics for finitely generated amenable groups ⋮ Variational principle for metric mean dimension with potential ⋮ Bowen’s equations for upper metric mean dimension with potential ⋮ Invariance pressure dimensions for control systems

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