35 citations · 84 across the 24 of their papers we have counts for
4 papers · 1 filter
The Planar Lattice Two-Neighbor Graph Percolates
David Coupier, Benoît Henry, Benedikt Jahnel +1
The k-neighbor graph is a directed percolation model on the hypercubic lattice Z d in which each vertex independently picks exactly k of its 2d nearest neighbors at random, and we…
Absence of percolation for infinite Poissonian systems of stopped paths
David Coupier, David Dereudre, Jean-Baptiste Gouéré
The state space of our model is the Euclidean space in dimension d = 2. Simultaneously, from all points of a homogeneous Poisson point process, we let grow independent and identica…
IDLA with sources in a hyperplane of
Nicolas Chenavier, David Coupier, Keenan Penner +1
We consider a random growth model based on the IDLA protocol with sources in a hyperplane of . We provide a stabilization result and a shape theorem generalizing [7] in any d…
Line-of-sight Cox percolation on Poisson-Delaunay triangulation
David Corlin Marchand, David Coupier, Benoît Henry
In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. The street system is modeled by a Poisson-Delaunay triangulation (PD…