2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127013We give an easy counter-example to Problem 7.20 from C. Villani's book on mass transport: in general, the quadratic Wasserstein distance between $n$-fold normalized convolutions of two given measures fails to decrease monotonically.Probability60B10Non-monotone convergence in the quadratic Wasserstein distancetext