Variational principles of pressure

DOI10.3934/dcds.2009.24.1409zbMath1167.37303OpenAlexW2009618585MaRDI QIDQ833288

Guohua Zhang

Publication date: 12 August 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.24.1409

zbMATH Keywords

variational principletopological pressureupper semi-continuitymeasure-theoretical pressuresub-additive sequence

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (21)

Variational Principle for Conditional Pressure with Subadditive Potential ⋮ Variational principle and zero temperature limits of asymptotically (sub)-additive projection pressure ⋮ Unstable pressure of subsets for partially hyperbolic systems ⋮ A local conditional variational principle of pressures and local conditional equilibrium states ⋮ Relativization of dynamical properties ⋮ Variational principle for weighted topological pressure with subadditive potentials ⋮ A variational principle of the topological pressures for non-autonomous iterated function systems ⋮ Double variational principle for mean dimensions with sub-additive potentials ⋮ Variational principle for topological pressure on subsets of non-autonomous dynamical systems ⋮ Topological pressure for sub-additive potentials of amenable group actions ⋮ Variational principle for topological pressures on subsets ⋮ Local unstable entropies of partially hyperbolic diffeomorphisms ⋮ Variational principles for relative local pressure with subadditive potentials ⋮ On the measure-theoretic entropy and topological pressure of free semigroup actions ⋮ Some properties of topological pressure of a semigroup of continuous maps ⋮ Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure ⋮ The local variational principle of topological pressure for sub-additive potentials ⋮ A relative local variational principle for topological pressure ⋮ Topological pressure dimension for almost additive potentials ⋮ Local entropy theory of a random dynamical system ⋮ Modeling potential as fiber entropy and pressure as entropy

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