A variational principle for nonlinear local pressure

2025/06/21 by Zhu, Jiayi, Zou, Rui
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.17555

Abstract

In this paper, we introduce a concept of nonlinear local topological pressure defined via open covers and establish a corresponding variational principle. Furthermore, we provide multiple equivalent characterizations of nonlinear pressure using different cover-based approaches.

Citations

• Local weighted topological pressure
• Nonlinear thermodynamical formalism
• Generalized Curie-Weiss Model and Quadratic Pressure in Ergodic Theory
• Local Entropy Theory of a Random Dynamical System
• Topological Pressure for sub-additive potentials of amenable group actions
• On the interplay between measurable and topological dynamics
• Entropy Theory from the Orbital Point of View

Related

• Local weighted topological pressure
• Variational relations of topological pressure for nonautonomous dynamical systems
• Induced Topological Pressure for Dynamical Systems
• A variational principle for topological pressure for certain non-compact sets
• Variational principles for topological pressures on subsets