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

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.

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Publication Details

Journal
Mathematics
Published
2025-04-12
DOI
https://doi.org/10.3390/math13081271
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Yong Ji, Yuanyuan Zhang, Yunping Wang
Mathematics
Advanced Numerical Analysis Techniques
article

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

Yong Ji, Yuanyuan Zhang, Yunping Wang
article en

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.

MathematicsVol. 13(8)
Ningbo University (CN), Ningbo University of Technology (CN)
National Natural Science Foundation of China, Southwest Jiaotong University, Sichuan University, Natural Science Foundation of Ningbo, Natural Science Foundation of Zhejiang Province
Openalex Percentile: Top 92%
Advanced Numerical Analysis Techniques
DOIOpen Access PDFOpenAlex
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Bowen’s Equations for Weighted Upper Metric Mean Dimension with Potential — Yong Ji, Yuanyuan Zhang, et al. · Mathematics (2025) | TGRS Research Map | TGRS