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Multifractal Analysis of Local Polynomial Entropies

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Abstract

In this paper, we introduce the Bowen polynomial entropy and study the multifractal spectrum of the local polynomial entropies for arbitrary Borel probability measures.

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Acknowledgements

The authors thank the referees for their valuable suggestions and comments. The work was supported by Foundation in Higher Education Institutions of Henan Province (No. 23A110020) and NSFC (No. 11971236).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Shangqiu Normal University, Shangqiu, 476000, China

    Lei Liu

  2. School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou, 215009, China

    Cao Zhao

Authors
  1. Lei Liu
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  2. Cao Zhao
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Correspondence to Cao Zhao.

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Conflict of Interest The authors declare no conflict of interest.

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Liu, L., Zhao, C. Multifractal Analysis of Local Polynomial Entropies. Front. Math 19, 89–105 (2024). https://doi.org/10.1007/s11464-021-0258-5

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  • DOI: https://doi.org/10.1007/s11464-021-0258-5

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