activity
20112023
most citedSpeed and fluctuations of N-particle branching Brownian motion with spatial selection

38 citations · 211 across the 19 of their papers we have counts for

collaborators

23 papers

math.PR2023

(Almost) complete characterization of stability of a discrete-time Hawkes process with inhibition and memory of length two

Manon Costa, Pascal Maillard, Anthony Muraro

We consider a discrete-time version of a Hawkes process defined as a Poisson auto-regressive process whose parameters depend on the past of the trajectory. We allow these parameter…

math.PR2022★ 3 cited

Branching random walk with non-local competition

Pascal Maillard, Sarah Penington

We study the Bolker-Pacala-Dieckmann-Law (BPDL) model of population dynamics in the regime of large population density. The BPDL model is a particle system in which particles repro…

math.PR2021★ 2 cited

Efficient approximation of branching random walk Gibbs measures

Fu-Hsuan Ho, Pascal Maillard

Disordered systems such as spin glasses have been used extensively as models for high-dimensional random landscapes and studied from the perspective of optimization algorithms. In…

math.PR2021★ 3 cited

On the branching convolution equation

Pascal Maillard, Bastien Mallein

We characterize all random point measures which are in a certain sense stable under the action of branching. Denoting by the branching convolution operation introduce…

math.PR2021★ 1 cited

Spreading speed of locally regulated population models in macroscopically heterogeneous environments

Pascal Maillard, Gaël Raoul, Julie Tourniaire

We consider a certain lattice branching random walk with on-site competition and in an environment which is heterogeneous at a macroscopic scale in space and time.…

math.PR2021

1-stable fluctuations in branching Brownian motion at critical temperature II: general functionals

Pascal Maillard, Michel Pain

Let denote the critical derivative Gibbs measure of branching Brownian motion at time . It has been proved by Madaule (Stochastic Process. Appl. 126 (2016), no. 2, 470--50…