Topological pressure for sub-additive potentials of amenable group actions

DOI10.1016/j.jfa.2011.09.020zbMath1243.37017arXiv1104.2195OpenAlexW2964209821MaRDI QIDQ656209

Bingbing Liang, Kesong Yan

Publication date: 17 January 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2195

zbMATH Keywords

variational principleamenable grouptopological pressurelocal entropy theorymeasure-theoretic entropysubadditive potential

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)

Related Items

The Katok's entropy formula for amenable group actions, Sub-additive and asymptotically sub-additive topological pressure for \(\mathbb{Z }^d\)-actions, A variational principle for weighted topological pressure under -actions, Polynomial entropy of amenable group actions for noncompact sets, Double variational principle for mean dimensions with sub-additive potentials, Bowen topological entropy of subsets for amenable group actions, A Billingsley-type theorem for the pressure of an action of an amenable group, On large deviations for amenable group actions, Topological pressure dimension for almost additive potentials, A variational principle of topological pressure on subsets for amenable group actions, Topological conditional entropy for amenable group actions, Local entropy theory of a random dynamical system, Conditional mean dimension, Conditional entropy and fiber entropy for amenable group actions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local entropy theory for a countable discrete amenable group action
• Ergodic theory and statistical mechanics
• Variational principles of pressure
• The thermodynamic formalism for sub-additive potentials
• Combinatorial independence in measurable dynamics
• Topological pressure and the variational principle for noncompact sets
• Entropy and isomorphism theorems for actions of amenable groups
• Hausdorff dimension of quasi-circles
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Independence in topological and \(C^*\)-dynamics
• A local variational principle of pressure and its applications to equilibrium states
• Entropy pairs and a local Abramov formula for a measure theoretical entropy of open covers
• On groups with full Banach mean value
• Local entropy theory
• A subadditive thermodynamic formalism for mixing repellers
• A Variational Principle for the Pressure of Continuous Transformations
• A disjointness theorem involving topological entropy
• Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
• A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
• Repellers for real analytic maps
• Entropy pairs for a measure
• Topological Entropy
• Topological Entropy Bounds Measure-Theoretic Entropy
• Relating Topological Entropy and Measure Entropy
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms