Topological pressure and large deviations for multivariate potentials

DOI10.1016/j.jmaa.2021.125892zbMath1489.37027OpenAlexW4200622179MaRDI QIDQ2069757

Ziyan Dai, Wen-Chiao Cheng, Yun Zhao

Publication date: 21 January 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125892

zbMATH Keywords

entropypressurelarge deviationpotential function

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40)

Cites Work

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• The asymptotically additive topological pressure on the irregular set for asymptotically additive potentials
• Thermodynamic formalism and applications to dimension theory
• Pressures for asymptotically sub-additive potentials under a mistake function
• Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures
• The thermodynamic formalism for sub-additive potentials
• Lyapunov spectrum of asymptotically sub-additive potentials
• Equality of pressures for diffeomorphisms preserving hyperbolic measures
• Topological pressure and the variational principle for noncompact sets
• A local variational principle of pressure and its applications to equilibrium states
• Variational Principle for Conditional Pressure with Subadditive Potential
• A thermodynamic definition of topological pressure for non-compact sets
• 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
• Multivariate variational principles for topological pressure
• Some Large Deviation Results for Dynamical Systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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