@Misc{ PinSav25, author = { Pinzi, Alessandro and Savaré, Giuseppe }, title = { Totally convex functions, $L^2$-Optimal transport for laws of random measures, and solution to the Monge problem }, journal = { }, year = { 2025 }, pages = { }, URL = { http://cvgmt.sns.it/paper/7278/ }, note = { cvgmt preprint} }