The pressure of intricacy and average sample complexity for amenable group actions

DOI10.1007/S00605-024-01993-9MaRDI QIDQ6617989

Jinna Huang, Zubiao Xiao

Publication date: 11 October 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

zbMATH Keywords

amenable groupcompact metric spacetopological pressure

Mathematics Subject Classification ID

Compact (locally compact) metric spaces (54E45) Analysis on metric spaces (30L99)

Cites Work

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• Mean mutual information and symmetry breaking for finite random fields
• Topological pressure for sub-additive potentials of amenable group actions
• Approximate maximizers of intricacy functionals
• Variational principles of pressure
• The thermodynamic formalism for sub-additive potentials
• Entropy and isomorphism theorems for actions of amenable groups
• Hausdorff dimension of quasi-circles
• Variational principle for topological pressure on subsets of free semigroup actions
• Coding sequence density estimation via topological pressure
• Monotileable amenable groups
• Measure-theoretic pressure for amenable group actions
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
• Repellers for real analytic maps
• Thermodynamic Formalism
• Topological Entropy
• Dynamical intricacy and average sample complexity
• Ergodic Theory
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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