Work

Bowen’s Equations for Weighted Upper Metric Mean Dimension with Potential

Year: 2025

Type: article

Abstract: In this paper, we define the weighted upper metric mean dimension with potential and derive its corresponding Bowen’s equation. Furthermore, we introduce the weighted BS metric mean dimension and the weighted packing BS metric mean dimension on the subsets, and prove Bowen’s equations for both. Additionally, we establish variational principles for these dimensions, linking them to the weighted local measure-theoretic entropy.

Source: Mathematics

DOI: 10.3390/math13081271

Authors: Yuanyuan Zhang, Yong Ji, Yunping Wang

Institutions: Ningbo University, Ningbo University of Technology

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137