Weak quantitative propagation of chaos via differential calculus on the space of measures

Jean-François Chassagneux, Lukasz Szpruch, Alvin Tse

Consider the metric space $({\mathcal{P}}_2({\mathbb{R}}^d),W_2)$ of square integrable laws on ${\mathbb{R}}^d$ with the topology induced by the 2-Wasserstein distance $W_2$. Let $Φ: \ma…