Measure-theoretic pressure for amenable group actions

DOI10.4064/cm6784-6-2016zbMath1373.37076OpenAlexW2589786150MaRDI QIDQ2985939

Yun Zhao

Publication date: 10 May 2017

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm6784-6-2016

zbMATH Keywords

amenable groupergodic measuremeasure-theoretic pressureinverse variational principle

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (8)

An alternative definition of topological entropy for amenable group actions ⋮ Topological pressure of generic points for amenable group actions ⋮ Dynamical intricacy and average sample complexity of amenable group actions ⋮ Polynomial entropy of amenable group actions for noncompact sets ⋮ Dimension approximation in smooth dynamical systems ⋮ Scale pressure for amenable group actions ⋮ Weighted upper metric mean dimension for amenable group actions ⋮ Measure theoretic pressure and dimension formula for non-ergodic measures

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