%0 Journal Article %A Alfonsi, Aurélien %A Jourdain, Benjamin %T Squared quadratic Wasserstein distance: optimal couplings and Lions differentiability %J ESAIM: Probability and Statistics %D 2020 %P 703-717 %V 24 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ps/2020013/ %R 10.1051/ps/2020013 %G en %F PS_2020__24_1_703_0