A variational principle of the topological pressures for non-autonomous iterated function systems

DOI10.1007/s12346-023-00848-2zbMath1527.37017MaRDI QIDQ6096400

Mengxin Cui, Zhiming Li

Publication date: 12 September 2023

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

variational principletopological pressuremeasure-theoretic pressurenonautonomous iterated function system

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Topological dynamics of nonautonomous systems (37B55)

Cites Work

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• Transit times and mean ages for nonautonomous and autonomous compartmental systems
• Variational principle for topological pressures on subsets
• Local entropy theory for a countable discrete amenable group action
• Topological pressure and topological entropy of a semigroup of maps
• Variational principles of pressure
• Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures
• The thermodynamic formalism for almost-additive sequences
• The thermodynamic formalism for sub-additive potentials
• Topological pressure and the variational principle for noncompact sets
• Variational principles for topological entropies of subsets
• Entropies of a semigroup of maps
• Geometric measure theory.
• Variational principle of topological pressure of free semigroup actions for subsets
• Variational principle for topological pressure on subsets of free semigroup actions
• A variational principle of topological pressure on subsets for amenable group actions
• A local variational principle of pressure and its applications to equilibrium states
• Non-autonomous conformal iterated function systems and Moran-set constructions
• Specification and thermodynamical properties of semigroup actions
• The variational principle
• 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
• On topological entropy and topological pressure of non-autonomous iterated function systems
• Topological Entropy for Noncompact Sets
• Topological Entropy
• COSET PRESSURE WITH SUB-ADDITIVE POTENTIALS
• Nonautonomous attractors of switching systems

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