A. Rousselle

collaborators

4 papers

math.PR2026

Construction of ergodic IDLA forests in $Z^{d}$

Nicolas Chenavier, David Coupier, Keenan Penner +1

We prove the existence of infinite-volume IDLA forests in $Z^{d}$ , with $d \geq 2$ , based on a multi-source IDLA protocol. Unlike IDLA aggregates, the laws of the IDLA fore…

math.PR2026

Peaks over Threshold in Scale-Free Random Graphs

Arnaud Rousselle, Ercan SÃ¶nmez

We explore extreme value phenomena in spatial scale-free random graphs in a continuum setting based on a homogeneous Poisson point process in $R^{d}$ . Vertices carry i.i.d.…

math.PR2025

IDLA with sources in a hyperplane of $Z^{d}$

Nicolas Chenavier, David Coupier, Keenan Penner +1

We consider a random growth model based on the IDLA protocol with sources in a hyperplane of $Z^{d}$ . We provide a stabilization result and a shape theorem generalizing [7] in any d…

math.PR2025

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 $Z^{2}$ with infinitely many sources tha…

Construction of ergodic IDLA forests in Zd

Peaks over Threshold in Scale-Free Random Graphs

IDLA with sources in a hyperplane of Zd

The bi-dimensional Directed IDLA forest

Construction of ergodic IDLA forests in $Z^{d}$

IDLA with sources in a hyperplane of $Z^{d}$