Abstract
Consider a system of N interacting particles. We are interested in the limit, as N tends to infinity, of this particle system, and try to derive from a microscopic point of view (i.e. particle dynamics) a mesoscopic point of view (i.e. a statistical description of the system). The notion of chaos propagation refers to the phenomenon whereby, as N grows in the particle system, two given particles become " increasingly " statistically independent.
The aim of this talk is to discuss more or less recent methods of showing this phenomenon for different types of particle systems, notably in singular Riesz-type interaction, and we focus in particular on results for convergence in N uniform in time. The two main models that motivate us are the 2D vortex model and Dyson Brownian motion.
This talk is based on joint work with A. Guillin (Université Clermont-Auvergne) and P. Monmarché (Sorbonne Université), and we also mention some results obtained with L. Colombani (Universität Bern) and C. Poquet (Lyon 1 University).
