3 papers
math.PR2024
Fractal random sets associated with multitype Galton-Watson trees
Pierre Calka, Yann Demichel
In this paper, we consider a regular tessellation of the Euclidean plane and the sequence of its geometric scalings by negative powers of a fixed integer. We generate iteratively r…
math.HO2023
Who invented von Koch's Snowflake Curve?
Yann Demichel
A strange title, might you say: Answer is in the question! However, contrary to popular belief and numerous citations in the literature, the image of the snowflake curve is not pre…
math.PR2016
The Poisson-Voronoi cell around an isolated nucleus
Pierre Calka, Yann Demichel, Nathanaël Enriquez
Consider a planar random point process made of the union of a point (the origin) and of a Poisson point process with a uniform intensity outside a deterministic set surrounding the…