Measure-theoretic pressure for subadditive potentials

DOI10.1016/j.na.2008.03.003zbMath1162.37016OpenAlexW2058169855MaRDI QIDQ1004619

Yun Zhao, Yong-Luo Cao

Publication date: 11 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.003

zbMATH Keywords

ergodic measuresspanning setmeasure-theoretic pressure

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (17)

On weighted sub-additive topological and measure-theoretic pressures ⋮ Variational Principle for Conditional Pressure with Subadditive Potential ⋮ Sup-additive metric pressure of diffeomorphisms ⋮ Entropy formulae of conditional entropy in mean metrics ⋮ Sub-additive topological and measure-theoretic tail pressures ⋮ Variational principle for weighted topological pressure with subadditive potentials ⋮ Double variational principle for mean dimensions with sub-additive potentials ⋮ Pressures for flows on arbitrary subsets ⋮ A note on the measure-theoretic pressure in mean metric ⋮ Dimension estimates in non-conformal setting ⋮ Variational principle for topological pressures on subsets ⋮ Upper metric mean dimensions with potential on subsets ⋮ Measure-theoretic pressure and topological pressure in mean metrics ⋮ Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure ⋮ The asymptotically additive topological pressure on the irregular set for asymptotically additive potentials ⋮ On factors of Gibbs measures for almost additive potentials ⋮ A note on measure-expansive diffeomorphisms

Cites Work

• Definition of measure-theoretic pressure using spanning sets
• The thermodynamic formalism for sub-additive potentials
• Topological pressure and the variational principle for noncompact sets
• Hausdorff dimension of quasi-circles
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• A subadditive thermodynamic formalism for mixing repellers
• A Variational Principle for the Pressure of Continuous Transformations
• 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
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