Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows

Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty

We consider conservative and gradient flows for $N$-particle Riesz energies with mean-field scaling on the torus ${\mathbb{T}}^d$, for $d\ge 1$, and with thermal noise of McKean-Vla…