The Systematic Risk at the Crisis—A Multifractal Non-Uniform Wavelet Systematic Risk Estimation

M Sarraj, A Ben Mabrouk - Fractal and Fractional, 2021 - mdpi.com
In the last decade, many factors, such as socio-political and econo-environmental ones,
have led to a perturbation in the timeline of the worldwide development, and especially in …

A wavelet multifractal model for quality of life index measuring during pandemics and crises

MS Balalaa, A Ben Mabrouk - Expert Systems, 2023 - Wiley Online Library
In the present article, we investigate the impact of the timescale factor on the quality of life
index behaviour on specific time intervals characterized by the presence of socio‐economic …

Fifth‐generation fractal antenna design based on the Koch S nowflake geometry. A fractal theory application

MA Paun, MV Nichita, VA Paun, VP Paun - Expert Systems, 2023 - Wiley Online Library
The projection of fifth‐generation (5G) fractal antennas and their advantageous geometry
are examined. The fact that fractal‐shaped antennas based on Koch Snowflake geometry …

[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 …

Robustness and sensitivity of some wavelet multifractal models in fractal data modelling

S Arfaoui, NB Abdallah - Expert Systems, 2023 - Wiley Online Library
Many multifractal models such as self‐similar and scaling law types have been proved to be
efficient modellers and estimators in many fields such as financial time series where the data …

Multifractal wavelet dynamic mode decomposition modeling for marketing time series

MEA Zidan, AB Mabrouk, NB Abdallah… - arXiv preprint arXiv …, 2024 - arxiv.org
Marketing is the way we ensure our sales are the best in the market, our prices the most
accessible, and our clients satisfied, thus ensuring our brand has the widest distribution …

Wavelets for anisotropic oscillations in nanomaterials: Wavelets for anisotropic oscillations

AB Mabrouk, MB Slimane, BT Badeche… - Intelligent Fractal-Based …, 2024 - Elsevier
The chapter is concerned with the development of a wavelet based study to understanding
the anisotropic (directional) behavior of images, especially nanoimages and oscillations in …

Exceptional Points for Density Modulo 1

D Berend, MD Boshernitzan, G Kolesnik… - arXiv preprint arXiv …, 2024 - arxiv.org
It is well known that almost every dilation of a sequence of real numbers, that diverges to
$\infty $, is dense modulo~ 1. This paper studies the exceptional set of points--those for …

Testing for the Multifractality in Air Pollutants Time Series Dynamics and Application to Tabuk Region Case Study

AF Aljohani, ABB Mabrouk, M Areshi, J Bouslimi… - 2023 - preprints.org
Fractal analysis of time series aims to extract the hidden or complex structures issued from
the associated real data, such as scaling laws, non-stationary, dynamics, and so on. In the …

A quantum wavelet uncertainty principle

S Arfaoui, MG Alshehri, A Ben Mabrouk - Fractal and Fractional, 2021 - mdpi.com
In the present paper, an uncertainty principle is derived in the quantum wavelet framework.
Precisely, a new uncertainty principle for the generalized q-Bessel wavelet transform, based …