4 citations · 10 across the 10 of their papers we have counts for
12 papers
Peaks over Threshold in Scale-Free Random Graphs
Arnaud Rousselle, Ercan Sönmez
We explore extreme value phenomena in spatial scale-free random graphs in a continuum setting based on a homogeneous Poisson point process in . Vertices carry i.i.d.…
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…
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…
Compound Poisson approximation for simple transient random walks in random sceneries
Nicolas Chenavier, Ahmad Darwiche, Arnaud Rousselle
Given a simple transient random walk in and a stationary sequence of real random variables , we investigate the extremes of…
The longest edge of the one-dimensional soft random geometric graph with boundaries
Arnaud Rousselle, Ercan Sönmez
The object of study is a soft random geometric graph with vertices given by a Poisson point process on a line and edges between vertices present with probability that has a polynom…
The longest edge in discrete and continuous long-range percolation
Arnaud Rousselle, Ercan Sönmez
We consider the random connection model in which an edge between two Poisson points at distance is present with probability . We conduct an extreme value analysis on this…
The bi-dimensional Directed IDLA forest
Nicolas Chenavier, David Coupier, Arnaud Rousselle
We investigate three types of Internal Diffusion Limited Aggregation (IDLA) models. These models are based on simple random walks on with infinitely many sources tha…
The random walk on the random connection model
Ercan Sönmez, Arnaud Rousselle
We study the behavior of the random walk in a continuum independent long-range percolation model, in which two given vertices and are connected with probability that asympt…
Recurrence of Multidimensional Persistent Random Walks. Fourier and Series Criteria
Peggy Cénac, Basile De Loynes, Yoann Offret +1
The recurrence features of persistent random walks built from variable length Markov chains are investigated. We observe that these stochastic processes can be seen as L{é}vy walks…
Annealed invariance principle for random walks on random graphs generated by point processes in
Arnaud Rousselle
We consider simple random walks on random graphs embedded in and generated by point processes such as Delaunay triangulations, Gabriel graphs and the creek-crossing…
Quenched invariance principle for random walks on Delaunay triangulations
Arnaud Rousselle
We consider simple random walks on Delaunay triangulations generated by point processes in . Under suitable assumptions on the point processes, we show that the rando…
Recurrence or transience of random walks on random graphs generated by point processes in
Arnaud Rousselle
We consider random walks associated with conductances on Delaunay triangulations, Gabriel graphs and skeletons of Voronoi tilings which are generated by point processes in $\mathbb…