Variational principle for topological tail pressures with sub-additive upper semi-continuous potentials

DOI10.1080/14689367.2015.1082536zbMath1365.37035OpenAlexW2207059220MaRDI QIDQ2811261

Xian-Feng Ma, Zhi-Ming Zhang, Ercai Chen, Dandan Ding

Publication date: 10 June 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2015.1082536

zbMATH Keywords

variational principletail pressureentropy structuresub-additive potential

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40)

Related Items (1)

Sub-additive topological and measure-theoretic tail pressures

Cites Work

• Thermodynamic formalism and applications to dimension theory
• The local variational principle of topological pressure for sub-additive potentials
• Entropy structure
• Lyapunov spectrum of asymptotically sub-additive potentials
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Mean dimension, small entropy factors and an embedding theorem
• Tail pressure and the tail entropy function
• A direct proof of the tail variational principle and its extension to maps
• A subadditive thermodynamic formalism for mixing repellers
• A Variational Principle for the Pressure of Continuous Transformations
• A Relativised Variational Principle for Continuous Transformations
• Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
• The dimensions of a non-conformal repeller and an average conformal repeller
• Modeling potential as fiber entropy and pressure as entropy
• Relating Topological Entropy and Measure Entropy

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