Ants and mean-field interactions: singular interactions and multiple invariant measures

par Oscar de Wit (ICJ)

jeudi 18 juin 2026, 14:00 → 15:00 Europe/Paris

112 (ICJ)

In this talk we discuss mean-field particle systems on continuous periodic domains by the example of a simple model for ants. The model shares features with the Vicsek model and the active Ising model. We cover well-posedness and the mean-field limit for singular interactions. We also cover the existence of multiple invariant measures via the Lyapunov-Schmidt method.