Work

Variational principles of metric mean dimension for random dynamical systems

Year: 2025

Type: article

Abstract: In this paper, we establish variational principles for the metric mean dimension of random dynamical systems with infinite topological entropy. This is based on four types of measure-theoretic ϵ -entropies: Kolmogorov-Sinai ϵ -entropy, Shapira’s ϵ -entropy, Katok’s ϵ -entropy and Brin–Katok local ϵ -entropy. The variational principle, as a fundamental theorem, links topological dynamics and ergodic theory.

Source: Proceedings of the Edinburgh Mathematical Society

DOI: 10.1017/s0013091525100990

Authors: Yunping Wang, Ercai Chen, Kexiang Yang

Institutions: Ningbo University of Technology, Nanjing Normal University, Fudan University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green