Multivariate variational principles for topological pressure

DOI10.1142/S0219493715500161zbMath1351.37143MaRDI QIDQ5255758

Marc Rauch

Publication date: 19 June 2015

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

variational principlethermodynamic formalisminverse variational principle

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (1)

Topological pressure and large deviations for multivariate potentials

Cites Work

• Limit theorems for von Mises statistics of a measure preserving transformation
• Thermodynamic formalism and applications to dimension theory
• Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures
• The thermodynamic formalism for almost-additive sequences
• Lyapunov spectrum of asymptotically sub-additive potentials
• A non-additive thermodynamic formalism and dimension theory of hyperbolic dynamical systems
• A thermodynamic definition of topological pressure for non-compact sets
• 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
• Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure

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