35 citations · 84 across the 24 of their papers we have counts for
29 papers
The -th nearest neighbor random walk on a Poisson point process gets trapped
Anne-Laure Basdevant, David Coupier, Jean-Baptiste Gouéré +1
The -th nearest neighbor random walk on a homogeneous Poisson point process on (), starts at the origin and at each step picks its next Po…
Construction of ergodic IDLA forests in
Nicolas Chenavier, David Coupier, Keenan Penner +1
We prove the existence of infinite-volume IDLA forests in , with , based on a multi-source IDLA protocol. Unlike IDLA aggregates, the laws of the IDLA fore…
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…