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 …
dimensions of Borel probability measures, with a specific emphasis on the diverse …
Variational principles for general fractal dimensions
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 …
packing dimensions of compact sets in Euclidean space. This representation is formulated in …
Probabilistic spaces and generalized dimensions: A multifractal approach
Consider a probability space (Z, ℱ, τ). This paper primarily investigates a general multifractal
formalism within the probability space (Z, ℱ, τ). Our first objective is to introduce a multifractal …
formalism within the probability space (Z, ℱ, τ). Our first objective is to introduce a multifractal …
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 …
typical compact metric spaces within the Gromov-Hausdorff space, using the Gromov …
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
main content Springer Nature Link Account Menu Find a journal Publish with us Track your …
main content Springer Nature Link Account Menu Find a journal Publish with us Track your …
General fractal dimensions of typical sets and measures
R Achour, B Selmi - Fuzzy Sets and Systems, 2024 - Elsevier
Consider (Y, ρ) as a complete metric space and S as the space of probability Borel
measures on Y. Let dim‾ B Ψ, Φ (E) be the general upper box dimension of the set E⊂ Y …
measures on Y. Let dim‾ B Ψ, Φ (E) be the general upper box dimension of the set E⊂ Y …
The Engel--Minkowski question-mark function
S Serbenyuk - arXiv preprint arXiv:2501.01572, 2025 - arxiv.org
arXiv:2501.01572v1 [math.CA] 2 Jan 2025 Page 1 arXiv:2501.01572v1 [math.CA] 2 Jan 2025
THE ENGEL–MINKOWSKI QUESTION-MARK FUNCTION SYMON SERBENYUK …
THE ENGEL–MINKOWSKI QUESTION-MARK FUNCTION SYMON SERBENYUK …
Generalized Fractal Dimensions and Gauges for Self-Similar Sets and Their Application in the Assessment of Coherent Conditional Previsions and in the Calculation …
In this paper, we compute the generalized Hausdorff and packing dimensions of self-similar
sets that meet the open set condition. We thoroughly characterize the class of Hausdorff …
sets that meet the open set condition. We thoroughly characterize the class of Hausdorff …