9 citations · 58 across the 33 of their papers we have counts for
36 papers
Sharp asymptotics for the maximal distance from the boundary to the nucleus of a typical Poisson-Voronoi cell
Pierre Calka, Cecilia d'Errico, Nathanaël Enriquez
We consider the typical Poisson-Voronoi cell in the Euclidean space R d and in particular the maximal distance D from a vertex of that cell to its nucleus. We provide a sharp asymp…
Local limit of massive spanning forests on the complete graph
Matteo D'Achille, Nathanaël Enriquez, Paul Melotti
We identify the local limit of massive spanning forests on the complete graph. This generalizes a well-known theorem of Grimmett on the local limit of uniform spanning trees on the…
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…
Long induced paths in a configuration model
Nathanaël Enriquez, Gabriel Faraud, Laurent Ménard +1
In an article published in 1987 in Combinatorica \cite{MR918397}, Frieze and Jackson established a lower bound on the length of the longest induced path (and cycle) in a sparse ran…
Reversible Poisson-Kirchhoff Systems
Alexandre Boyer, Jérôme Casse, Nathanaël Enriquez +1
We define a general class of random systems of horizontal and vertical weighted broken lines on the quarter plane whose distribution are proved to be translation invariant. This in…
A solvable class of renewal processes
Nathanaël Enriquez, Nathan Noiry
When the distribution of the inter-arrival times of a renewal process is a mixture of geometric laws, we prove that the renewal function of the process is given by the moments of a…