3 papers
math.CA2025
The multifractal nature of a parametrized family of von Koch functions
Zoltán Buczolich, Yann Demichel, Stéphane Seuret
In a famous paper published in 1904, Helge von Koch introduced the curve that still serves nowadays as an iconic representation of fractal shapes. In fact, von Koch's main goal was…
math.PR2022
Elongated Poisson-Voronoi cells in an empty half-plane
Pierre Calka, Yann Demichel, Nathanaël Enriquez
The Voronoi tessellation of a homogeneous Poisson point process in the lower half-plane gives rise to a family of vertical elongated cells in the upper half-plane. The set of edges…
math.DS2018
Renormalization of the Hutchinson Operator
Yann Demichel
One of the easiest and common ways of generating fractal sets in is as attractors of affine iterated function systems (IFS). The classic theory of IFS's requires th…