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The thermodynamic approach to multifractal analysis for weighted topological entropy

Yuchen Dai, Cao Zhao, Lei Liu Colloquium Mathematicum MSC: Primary 37B05; Secondary 37C45, 37C85, 37D35, 54F45 DOI: 10.4064/cm9755-5-2026 Published online: 19 October 2026

Abstract

We give a general framework incorporating the most important multifractal spectra using the thermodynamic approach to establish the multifractal formalism for weighted topological entropy.

Authors

  • Yuchen DaiSchool of Mathematical Sciences
    Suzhou University of Science and Technology
    Suzhou 215009, Jiangsu, P. R. China
    e-mail
  • Cao ZhaoSchool of Mathematical Sciences
    Suzhou University of Science and Technology
    Suzhou 215009, Jiangsu, P. R. China
    e-mail
  • Lei LiuSchool of Mathematics and Statistics
    Shangqiu Normal University
    Shangqiu 476000, Henan, P. R. China
    e-mail
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