Induced Topological Pressure for Dynamical Systems

2025/07/10 by Ma, Wenhui, Zhao, Yun, Zhu, Hanjing
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.07782

Abstract

This paper is devoted to the study of induced topological pressure, including both classical and nonlinear cases. For the classical induced topological pressure, we investigate equilibrium states, subdifferential and freezing states, while also discussing some basic properties of it. Additionally, the high dimensional nonlinear induced topological pressure is introduced, and the corresponding variational principle is established.

Citations

• On the Equivalence of Equilibrium and Freezing States in Dynamical Systems
• Nonlinear thermodynamical formalism
• Generalized Curie-Weiss Model and Quadratic Pressure in Ergodic Theory
• Variational principle for weighted topological pressure
• Sets of “Non-typical” points have full topological entropy and full Hausdorff dimension
• Topological entropy for noncompact sets

Related

• Variational relations of topological pressure for nonautonomous dynamical systems
• A variational principle for nonlinear local pressure
• A Thermodynamic Definition of Topological Pressure for Non-Compact Sets
• Variational principles for topological pressures on subsets
• Localized topological pressure and equilibrium states