MIXED MULTIFRACTAL SPECTRA OF HOMOGENEOUS MORAN MEASURES

被引：5

作者：

Hattab, Jihed ^{[1
]}

Selmi, Bilel ^{[1
]}

Verma, Saurabh ^{[2
]}

机构：

[1] Univ Monastir, Fac Sci Monastir, Dept Math, Anal Probabil & Fractals Lab LR18ES17, Monastir 5000, Tunisia

[2] Indian Inst Informat Technol Allahabad, Dept Appl Sci, Prayagraj 211015, India

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年 / 32卷 / 02期

关键词：

Mixed Multifractal Formalism; Hausdorff Dimension; Packing Dimension; Box Dimensions; Self-Similar Measures; Homogeneous Moran Measures; DIMENSION;

D O I：

10.1142/S0218348X24400036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There are only two kinds of measures in which the mixed multifractal formalism applies, which are self-similar and self-conformal measures. This paper studies the validity and non-validity of the mixed multifractal formalism of other kinds of measures, called irregular/homogeneous Moran measures.

引用

页数：20

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