The thermodynamic approach to multifractal analysis for weighted topological entropy

Yuchen Dai; Cao Zhao; Lei Liu

doi:10.4064/cm9755-5-2026

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Artykuły Online First

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 Opublikowany online: 19 October 2026

Streszczenie

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

Autorzy

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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Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Artykuły Online First

Colloquium Mathematicum

The thermodynamic approach to multifractal analysis for weighted topological entropy

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