Topological pressure and the variational principle for actions of sofic groups

DOI10.1017/S0143385712000429zbMath1291.37037arXiv1110.0699OpenAlexW2963901042MaRDI QIDQ2873989

Nhan-Phu Chung

Publication date: 28 January 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0699

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (11)

Variational principle and zero temperature limits of asymptotically (sub)-additive projection pressure ⋮ The entropy of Gibbs measures on sofic groups ⋮ Finite entropy actions of free groups, rigidity of stabilizers, and a Howe-Moore type phenomenon ⋮ A variational principle for weighted topological pressure under -actions ⋮ Variational principle for topological pressures on subsets ⋮ On the measure-theoretic entropy and topological pressure of free semigroup actions ⋮ Topological pressure for an iterated function system ⋮ On large deviations for amenable group actions ⋮ Examples in the entropy theory of countable group actions ⋮ Krieger's finite generator theorem for actions of countable groups. II ⋮ The Lanford–Ruelle theorem for actions of sofic groups

Cites Work

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• Local variational principle concerning entropy of a sofic group action
• Topological pressure and the variational principle for noncompact sets
• Endomorphisms of symbolic algebraic varieties
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• Mean topological dimension
• Sofic entropy and amenable groups
• Specific characteristics and variational principle for homogeneous random fields
• Sofic groups and diophantine approximation
• Cellular Automata and Groups
• Measure conjugacy invariants for actions of countable sofic groups
• A Variational Principle for the Pressure of Continuous Transformations
• Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
• On sofic groups
• Hyperlinear and Sofic Groups: A Brief Guide

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