Recherche - Research

Modélisation géométrique des objets singuliers et applications

``It is a rough world out here. So why should all our mathematical models assume that the underlying space is smooth ?''

Phase transitions in Loewner evolution: a mathematical proof of concept

(on the emergence of non-smooth geometries in growth processes)

Voisinage tubulaire d'une approximation préfractale de la Courbe de Weierstrass.

Tubular neighborhood of a prefractal approximation of the Weierstrass Curve.

The fractal (complex) dimensions of the Weierstrass Curve.

Approximations préfractales de la courbe de Sierpinski "en pointe de flèche".

Prefractal approximation of the Sierpinski Arrowhead Curve.

Approximations préfractales du triangle de Sierpinski et du tétraèdre de Sierpinski.

Prefractal approximations of the Sierpinski Gasket and of the Sierpinski Tetrahedron.