Topological pressures of a factor map for nonautonomous iterated function systems

2025/07/30 by Ju, Yujun, Yang, Lingbing
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.22713

Abstract

This study focuses on the topological pressure of nonautonomous iterated function systems defined on a compact metric space. We establish an inequality relating two topological pressures associated with a factor map of nonautonomous iterated function systems.

Citations

• Topological entropy of nonautonomous dynamical systems
• On the measure-theoretic entropy and topological pressure of free semigroup actions(to appear in ETDS)
• Strict inequality in the box-counting dimension product formulas

Related

• On topological entropy and topological pressure of non-autonomous iterated function systems
• Nonautonomous Dynamical Systems I: Topological Pressures and Entropies
• Variational relations of topological pressure for nonautonomous dynamical systems
• A Thermodynamic Definition of Topological Pressure for Non-Compact Sets
• Induced Topological Pressure for Dynamical Systems