MIXED MULTIFRACTAL SPECTRA OF HOMOGENEOUS MORAN MEASURES

Jihed Hattab (), Bilel Selmi and Saurabh Verma ()
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Jihed Hattab: Analysis, Probability and Fractals Laboratory LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000 Monastir, Tunisia
Bilel Selmi: Analysis, Probability and Fractals Laboratory LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000 Monastir, Tunisia
Saurabh Verma: Department of Applied Sciences, Indian Institute of Information Technology, Allahabad, Prayagraj 211015, India

FRACTALS (fractals), 2024, vol. 32, issue 02, 1-20

Abstract: 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.

Keywords: Mixed Multifractal Formalism; Hausdorff Dimension; Packing Dimension; Box Dimensions; Self-Similar Measures; Homogeneous Moran Measures (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400036

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