Concept
Dimension fractale
Publications associées (156)
Additive and geometric transversality of fractal sets in the integers
By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we in ...
2024Instability and trajectories of buoyancy-driven annular disks: A numerical study
François Gallaire, Pier Giuseppe Ledda, Giovanni Vagnoli
We investigate the stability of the steady vertical path and the emerging trajectories of a buoyancy -driven annular disk as the diameter of its central hole is varied. The steady and axisymmetric wake associated with the steady vertical path of the disk, ...
Amer Physical Soc2024Fractal Analysis in Pulmonary CT Images of COVID-19-Infected Patients
In this paper, we propose to quantitatively compare the loss of human lung health under the influence of the illness with COVID-19, based on the fractal-analysis interpretation of the chest-pulmonary CT pictures, in the case of small datasets, which are us ...
MDPI2023Fractal Analysis of Four Xerogels Based on TEGylated Phenothiazine and Chitosan
The present article describes novel massive materials (in the solid phase) based on TEGylated phenothiazine and chitosan that possess great capability to recover mercury ions from constituent aqueous solutions. These were produced by chitosan hydrogelation ...
MDPI2023Fifth-generation fractal antenna design based on the Koch Snowflake geometry. A fractal theory application
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 are suitable for higher frequencies was shown above all. By the instrumentality of ...
WILEY2023How roughness emerges on natural and engineered surfaces
Jean-François Molinari, Ramin Aghababaei
Roughness, defined as unevenness of material surfaces, plays an important role in determining how engineering components or natural objects interact with other bodies and their environment. The emergence of fractal roughness on natural and engineered surfa ...
SPRINGER HEIDELBERG2023Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory
Polymer plasma produced by laser ablation is investigated in a theoretical manner. In relation to the fact that the charge carrier circulation is assumed to take place on fractal curves, the so-called fractality type, electrical charge transport can be res ...
MDPI2022A Multifractal Vision of 5-Fluorouracil Release from Chitosan-Based Matrix
A suite of four drug deliverance formulations grounded on 5-fluorouracil enclosed in a chitosan-founded intercellular substance was produced by 3,7-dimethyl-2,6-octadienal with in situ hydrogelation. The formulations have been examined from a morphological ...
MDPI2022Fractal Analysis and Time Series Application in ZY-4 SEM Micro Fractographies Evaluation
SEM microfractographies of Zircaloy-4 are studied by fractal analysis and the time-series method. We first develop a computer application that associates the fractal dimension and lacunarity to each SEM micrograph picture, and produce a nonlinear analysis ...
MDPI2022Spatial Series and Fractal Analysis Associated with Fracture Behaviour of UO2 Ceramic Material
SEM micrographs of the fracture surface for UO2 ceramic materials have been analysed. In this paper, we introduce some algorithms and develop a computer application based on the time-series method. Utilizing the embedding technique of phase space, the attr ...
MDPI2022