5 citations · 6 across the 5 of their papers we have counts for
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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…
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…
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…
The diameter of a random elliptical cloud
Yann Demichel, Ana Karina Fermin, Philippe Soulier
We study the asymptotic behavior of the diameter or maximum interpoint distance of a cloud of i.i.d. -dimensional random vectors when the number of points in the cloud tends to…
Fractal random series generated by Poisson-Voronoi tessellations
Pierre Calka, Yann Demichel
In this paper, we construct a new family of random series defined on , indexed by one scaling parameter and two Hurst-like exponents. The model is close to Takagi-Knopp funct…