Multifractal Analysis of Local Polynomial Entropies

Lei LIU; Cao ZHAO

doi:10.1007/s11464-021-0258-5

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Frontiers of Mathematics ›› 2024, Vol. 19 ›› Issue (1) : 89-105. DOI: 10.1007/s11464-021-0258-5

RESEARCH ARTICLE

Multifractal Analysis of Local Polynomial Entropies

Lei LIU¹ ,
Cao ZHAO²

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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.

Keywords

Multifractal analysis / Bowen polynomial entropy / local polynomial entropy

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Lei LIU, Cao ZHAO. Multifractal Analysis of Local Polynomial Entropies. Frontiers of Mathematics, 2024, 19(1): 89‒105 https://doi.org/10.1007/s11464-021-0258-5