Nicolas Chenavier

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math.PR2026

Limit theorems for squared increment sums of the maximum of two isotropic fractional Brownian fields under fixed-domain asymptotics

Nicolas Chenavier, Christian Y. Robert

We study squared increment sums of the pointwise maximum of two independent and identically distributed isotropic fractional Brownian fields over a fixed two-dimensional domain. Th…

math.PR2026

Central limit theorems for squared increment sums of fractional Brownian fields based on a Delaunay triangulation in $2 D$

Nicolas Chenavier, Christian Y. Robert

An isotropic fractional Brownian field (with Hurst parameter $H < 1/2$ ) is observed in a family of points in the unit square $C = (- 1/2, 1/2]^{2}$ % . These points are assumed t…

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.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…

Limit theorems for squared increment sums of the maximum of two isotropic fractional Brownian fields under fixed-domain asymptotics

Central limit theorems for squared increment sums of fractional Brownian fields based on a Delaunay triangulation in 2D

Construction of ergodic IDLA forests in Zd

IDLA with sources in a hyperplane of Zd

The bi-dimensional Directed IDLA forest

Central limit theorems for squared increment sums of fractional Brownian fields based on a Delaunay triangulation in $2 D$

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

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