Scaled pressure of dynamical systems

DOI10.1016/j.jde.2022.10.020OpenAlexW4306935870MaRDI QIDQ2097023

Zhiming Li, Dandan Cheng

Publication date: 11 November 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.10.020

zbMATH Keywords

variational principlepseudo-orbitsscaled pressure

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items

A convex analysis approach to the metric mean dimension: limits of scaled pressures and variational principles, Scaled pressure of continuous flows^*

Cites Work

• Unnamed Item
• A remark on the topological entropy of homeomorphisms
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Double variational principle for mean dimension
• A local variational principle of pressure and its applications to equilibrium states
• Pseudo-Orbits and Topological Entropy
• From Rate Distortion Theory to Metric Mean Dimension: Variational Principle