An exact computation for mixed multifractal dimensions of sets and measures-Reference-Cited by-同舟云学术

An exact computation for mixed multifractal dimensions of sets and measures

Published:2023 Issue:23 Volume:37 Page:7761-7769
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Arfaoui Sabrine¹,Mabrouk Anouar²

Affiliation:

1. Laboratory of Algebra, Number Theory and Nonlinear Analysis, LRES, Department of Mathematics, Faculty of Sciences, University of Monastir, Monastir, Tunisia + Department of Computer Science, Higher Institute of Computer Science Elkef, University of Jendouba, Rue Saleh Ayech, Kef, Tunisia

2. Department of Mathematics, Higher Institute of Applied Mathematics and Computer Sciences, University of Kairouan, Kairouan, Tunisia + Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia

Abstract

In the present work, we are concerned with the estimation of some mixed variants of multifractal dimensions for a special class of measures characterized by a weak Ahlfors assumption applying mixed multifractal generalizations of Hausdorff and packing measures. Exact computation of such dimensions is shown to be valid for a class of Moran-type measures in some special cases.

Publisher

National Library of Serbia

Reference34 articles.

1. N. Attia, and B. Selmi, Relative multifractal box-dimensions. Filomat 33(9) (2019), pp.

2. N. Attia, B. Selmi and C. Souissi, Some density results of relative multifractal analysis. Chaos, Solitons and Fractals 103 (2017), pp. 1-11.

3. A. Ben Mabrouk, and A. Farhat, A Mixed Multifractal Analysis For Quasi-Ahlfors Vector-Valued Measures. Fractals 30(01), 2240001 (2022).

4. A. Ben Mabrouk, and A. Farhat, Mixed Multifractal Densities For Quasi-Ahlfors Vector-Valued Measures. Fractals 30(01), 2240003 (2022).

5. A. Ben Mabrouk and B. Selmi, A mixed multifractal analysis of vector-valued measures: Review and extension to densities and regularities of non-necessary Gibbs cases, Frontiers of Fractal Analysis: Recent Advances and Challenges, Taylor & Francis Group, LLC, CRC Press, (2022).