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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yuanyuan Zhang & Yong Ji & Yunping Wang, 2025. "Bowen’s Equations for Weighted Upper Metric Mean Dimension with Potential," Mathematics, MDPI, vol. 13(8), pages 1-40, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:8:p:1271-:d:1633350
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