Localized Topological Pressure for Random Dynamical Systems

This paper is devote to the investigation of fiber localized topological pressure for random dynamical systems. By establishing Katok’s pressure formula under the actions of random dynamical systems, we develop a variational principle between the fiber localized topological pressure and fiber locali...

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Published in:Journal of dynamical and control systems 2023-10, Vol.29 (4), p.1757-1773
Main Authors: Wang, Yunping, Ji, Yong, Zhao, Cao
Format: Article
Language:English
Subjects:
Calculus of Variations and Optimal Control
Optimization
Control
Dynamical Systems
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Systems Theory
Topology
Vibration
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creator Wang, Yunping
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Zhao, Cao
description This paper is devote to the investigation of fiber localized topological pressure for random dynamical systems. By establishing Katok’s pressure formula under the actions of random dynamical systems, we develop a variational principle between the fiber localized topological pressure and fiber localized measure-theoretic pressure.
doi_str_mv 10.1007/s10883-023-09658-w
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subjects Calculus of Variations and Optimal Control
Optimization
Control
Dynamical Systems
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Systems Theory
Topology
Vibration
title Localized Topological Pressure for Random Dynamical Systems
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