Induced topological pressure for topological dynamical systems

DOI10.1063/1.4908554zbMath1339.37026arXiv1502.02204OpenAlexW2227176236MaRDI QIDQ5178176

Ercai Chen, Zhitao Xing

Publication date: 13 March 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02204

zbMATH Keywords

variational principletopological pressureinduced topological pressure

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (5)

On the induced measure-theoretic entropy for random dynamical systems ⋮ Bowen’s equations for upper metric mean dimension with potential ⋮ Variational principle for BS-dimension of subsets of finitely generated free semigroup actions ⋮ Induced topological pressure and the zero-dimensional extension for BS dimensions ⋮ Katok formula for the induced measure-theoretic entropy

Cites Work

• Thermodynamic formalism and applications to dimension theory
• Topological pressure and the variational principle for noncompact sets
• Hausdorff dimension of quasi-circles
• Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
• A Variational Principle for the Pressure of Continuous Transformations
• Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
• Repellers for real analytic maps
• Induced topological pressure for countable state Markov shifts
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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