[BOOK][B] Wavelet analysis: basic concepts and applications

S Arfaoui, AB Mabrouk, C Cattani - 2021 - taylorfrancis.com
Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …

Mixed multifractal spectra of homogeneous moran measures

J Hattab, B Selmi, S Verma - Fractals, 2024 - World Scientific
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 …

[BOOK][B] Fractal analysis: Basic concepts and applications

C Cattani, A Ben Mabrouk, S Arfaoui - 2022 - World Scientific
Fractals in analysis, geometry, and generally in science are nowadays very popular
concepts. The appearance of such concepts in science is due essentially to Mandelbrot by …

Testing for multifractality of Islamic stock markets

F Saâdaoui - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
Studying the power-law scaling of financial time series is a promising area of econophysics,
which has often contributed to the understanding of the intricate features of the global …

[PDF][PDF] On the projections of the mutual multifractal Rényi dimensions

Z Douzi, B Selmi - Anal. Theory Appl, 2020 - scholar.archive.org
In this paper, we compare the mutual multifractal Rényi dimensions to the mutual multifractal
Hausdorff and pre-packing dimensions. We also provide a relationship between the mutual …

A joint multifractal analysis of vector valued non Gibbs measures

M Menceur, AB Mabrouk - Chaos, Solitons & Fractals, 2019 - Elsevier
The multifractal formalism for measures holds whenever the existence of corresponding
Gibbs-like measures supported on the singularities sets holds. In the present work we tried …

On the mixed multifractal formalism for vector-valued measures

B Selmi, AB Mabrouk - Proyecciones (Antofagasta), 2022 - SciELO Chile
The multifractal formalism for vector-valued measures holds when-ever the existence of
corresponding Gibbs-like measures, supported on the singularities sets holds. We tried …

A Mixed Multifractal Analysis of Vector-valued Measures: Review and Extension to Densities and Regularities of Non-necessary Gibbs Cases

AB Mabrouk, B Selmi - Frontiers of Fractal Analysis, 2022 - taylorfrancis.com
The multifractal analysis is concerned with the description of irregular measures and
functions when the classical analysis does not work. The main goal is the establishment of a …

[PDF][PDF] Multifractal dimensions of vector-valued non-Gibbs measures

B Selmi - General Letters in Mathematics, 2020 - refaad.com
In the present work, we are concerned with some multifractal dimensions estimations of
vector-valued measures in the framework of the so-called mixed multifractal analysis. We …

[HTML][HTML] On the mutual multifractal analysis for some non-regular Moran measures

B Selmi, NY Svetova - Проблемы анализа, 2023 - cyberleninka.ru
In this paper, we study the mutual multifractal Hausdorff dimension and the packing
dimension of level sets 𝐾 (𝛼, 𝛽) for some non-regular Moran measures satisfying the so …