Mean-field approximation, Gibbs relaxation, and cross estimates
While it is known that propagation of chaos holds at rate $O(1/N)$ uniformly in time, and Gibbs relaxation at rate $O(e^{-ct})$ uniformly in $N$, we go a step further by showing that the cross error between chaos propagation and Gibbs relaxation is $O(N^{-1}e^{-ct})$.
Jul 31, 2025