General multifractal dimensions of measures

B Selmi - Fuzzy Sets and Systems, 2025 - Elsevier
The main aim of this paper is to present a comprehensive exploration of general multifractal
dimensions of Borel probability measures, with a specific emphasis on the diverse …

Average general fractal dimensions of typical compact metric spaces

B Selmi - Fuzzy Sets and Systems, 2025 - Elsevier
The main objective of this paper is to investigate the average general fractal dimensions of
typical compact metric spaces within the Gromov-Hausdorff space, using the Gromov …

General fractal dimensions of graphs of products and sums of continuous functions and their decompositions

R Achour, Z Li, B Selmi, T Wang - Journal of Mathematical Analysis and …, 2024 - Elsevier
This study takes a broad approach to the fractal geometry problem and proposes an intrinsic
definition of the general box dimensions and the general Hausdorff and packing dimensions …

Some properties of new general fractal measures

R Achour, B Selmi - Monatshefte für Mathematik, 2024 - Springer
In this research, we adopt a comprehensive approach to address the multifractal and fractal
analysis problem. We introduce a novel definition for the general Hausdorff and packing …

Regarding the set-theoretic complexity of the general fractal dimensions and measures maps

B Selmi, H Zyoudi - Analysis, 2025 - degruyter.com
Let ν be a Borel probability measure on ℝ d and q, t∈ ℝ. This study takes a broad approach
to the multifractal and fractal analysis problem and proposes an intrinsic definition of the …

Multifractal Properties of Human Chromosome Sequences

JP Correia, R Silva, D Anselmo, MS Vasconcelos… - Fractal and …, 2024 - mdpi.com
The intricacy and fractal properties of human DNA sequences are examined in this work.
The core of this study is to discern whether complete DNA sequences present distinct …

Variational principles for general fractal dimensions

R Achour, Z Li, B Selmi - Results in Mathematics, 2024 - Springer
The objective of this research is to establish a representation of the general Hausdorff and
packing dimensions of compact sets in Euclidean space. This representation is formulated in …

[PDF][PDF] The smoothness of multifractal Hewitt-Stromberg and box dimensions

B Selmi, H Zyoudi - Nonlinear Funct. Anal, 2024 - jnfa.mathres.org
THE SMOOTHNESS OF MULTIFRACTAL HEWITT-STROMBERG AND BOX DIMENSIONS The
investigation of dimensions is a crucial aspect when anal Page 1 J. Nonlinear Funct. Anal. 2024 …

On the general fractal dimensions of hyperspace of compact sets

D Cheng, Z Li, B Selmi - Fuzzy Sets and Systems, 2024 - Elsevier
Consider a separable metric space (X, d), and let (K (X), d˜) denote the space of non-empty
compact subsets of X equipped with the Hausdorff metric. This paper aims to introduce and …

Relationships between singular expansions of real numbers

S Serbenyuk - The Journal of Analysis, 2024 - Springer
Relationships between singular expansions of real numbers | The Journal of Analysis Skip to
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