output
20092025
most citedOn a simple criterion for the existence of a principal eigenfunction of some nonlocal operators

234 citations

84 papers

math.AP2025

An abstract framework for a class of nonlocal structured population models: existence, uniqueness and stability of steady states

Jérôme Coville, Léo Girardin

This paper is concerned with the study of a class of nonlinear nonlocal functional evolution problems defined in an abstract Banach algebra. We introduce an abstract functional set…

math.AP2025

Explicit pulsating fronts and minimal speeds in periodic Fisher-KPP equations

Lionel Roques

We study a Fisher-KPP equation with spatially periodic diffusion and reaction terms. We identify a class of periodic media for which the equation admits an explicit, closed-form so…

math.PR2025

Effect of stochasticity on the growth of the infty-parent SLFV process

Jan Lukas Igelbrink, Apolline Louvet

We explore the impact of different forms of stochasticity on the expansion dynamics of a stochastic growth model called the -parent spatial -Fleming Viot process. This p…

stat.AP2025★ 1 cited

Enhancing the Accuracy of Spatio-Temporal Models for Wind Speed Prediction by Incorporating Bias-Corrected Crowdsourced Data

Eamonn Organ, Maeve Upton, Denis Allard +2

Accurate high-resolution spatial and temporal wind speed data is critical for estimating the wind energy potential of a location. For real-time wind speed prediction, statistical m…

math.AP2025

Periodic KPP equations: new insights into persistence, spreading, and the role of advection

Nathanaël Boutillon, François Hamel, Lionel Roques

We focus on the persistence and spreading properties for a heterogeneous Fisher-KPP equation with advection. After reviewing the different notions of persistence and spreading spee…

math.AP2025

Travelling waves in nonlocal reaction-dispersion equations with diffuse L{é}vy measures

Emeric Bouin, Jérôme Coville

In this paper, we focus on the existence of travelling fronts for nonlocal reaction-dispersion models. Our aim is to provide a unified existence proof in a very broad framework usi…