Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (6): 2106-2116.

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Variational Principle for Weighted BS-Covering Dimension on Subsets

Yuanyuan Zhang1,2, Yunping Wang1,*()   

  1. 1 School of Statistics and Data Science, Zhejiang Ningbo University of Technology
    2 Department of Mathematics, Ningbo University, Zhejiang Ningbo 315211
  • Received:2025-08-11 Revised:2026-01-04 Online:2026-12-26 Published:2026-08-14
  • Contact: Yunping Wang E-mail:yunpingwangj@126.com
  • Supported by:
    NSFC(12201328)

Abstract:

In this paper, we introduce the concept of the weighted BS-Covering dimension and establish a Billingsley-type theorem for it. We also prove a variational principle relating the weighted BS-local measure dimension to the weighted BS-Covering dimension.

Key words: weighted BS-Covering dimension, Billingsley's theorem, variational principle.

CLC Number: 

  • O192
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