Concept
Ensemble de Mandelbrot
Publications associées (52)
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 ...
2024From thin plates to Ahmed bodies: linear and weakly nonlinear stability of rectangular prisms
Edouard Boujo, Giuseppe Antonio Zampogna
We study the stability of laminar wakes past three-dimensional rectangular prisms. The width-to-height ratio is set to W/H = 1.2, while the length-to-height ratio 1/6 < L/H < 3 covers a wide range of geometries from thin plates to elongated Ahmed bodies. F ...
CAMBRIDGE UNIV PRESS2023Fractal 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 ...
WILEY2023Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1
We prove non-uniqueness for a class of weak solutions to the Navier???Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set of singular times with Hausdorff dimension strictly less than 1. ...
2022Minkowski's Loop Fractal Antenna Dedicated to Sixth Generation (6G) Communication
In this study, we will discuss the engineering construction of a special sixth generation (6G) antenna, based on the fractal called Minkowski's loop. The antenna has the shape of this known fractal, set at four iterations, to obtain maximum performance. Th ...
MDPI2022Bistable-Type Interactions Of Complex Systems In A Fractal Paradigm Of Motion
In the present paper the "interface" dynamics in the case of two complex systems interaction, assimilated to fractal-type mathematical objects, are analyzed. In such context, fractal bistable-type behaviors as transitions in the scale space are obtained. O ...
UNIV POLITEHNICA BUCHAREST, SCI BULL2022