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

Yuanyuan Zhang, Yong Ji and Yunping Wang ()
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Yuanyuan Zhang: Department of Mathematics, Ningbo University, Ningbo 315211, China
Yong Ji: Department of Mathematics, Ningbo University, Ningbo 315211, China
Yunping Wang: School of Statistics and Data Science, Ningbo University of Technology, Ningbo 315211, China

Mathematics, 2025, vol. 13, issue 8, 1-40

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.

Keywords: variational principle; Bowen’s equation; weighted metric mean dimension with potential (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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