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math.AP2023★ 5 cited
Graph Limit for Interacting Particle Systems on Weighted Random Graphs
Nathalie Ayi, Nastassia Pouradier Duteil
In this article, we study the large-population limit of interacting particle systems posed on weighted random graphs. In that aim, we introduce a general framework for the construc…
math.AP2023
Long-time behaviour of an advection-selection equation
Jules Guilberteau, Camille Pouchol, Nastassia Pouradier Duteil
We study the long-time behaviour of the advection-selection equation $$\partial_tn(t,x)+\nabla \cdot \left(f(x)n(t,x)\right)=\left(r(x)-ρ(t)\right)n(t,x),\quad ρ(t)=\int_{\mathbb{R…