M. Agueh and G. Carlier, Barycenters in the Wasserstein Space, SIAM Journal on Mathematical Analysis, vol.43, issue.2, pp.904-924, 2011.
DOI : 10.1137/100805741
URL : https://hal.archives-ouvertes.fr/hal-00637399

J. Benamou, G. Carlier, M. Cuturi, L. Nenna, and G. Peyré, Iterative Bregman Projections for Regularized Transportation Problems, SIAM Journal on Scientific Computing, vol.37, issue.2, pp.1111-1138, 2015.
DOI : 10.1137/141000439
URL : https://hal.archives-ouvertes.fr/hal-01096124

Y. Brenier, Polar factorization and monotone rearrangement of vector-valued functions, Communications on Pure and Applied Mathematics, vol.117, issue.4, pp.375-417, 1991.
DOI : 10.1002/cpa.3160440402

J. Bigot and T. Klein, Characterization of barycenters in the Wasserstein space by averaging optimal transport maps, preprint 2015

M. Cuturi and A. Doucet, Fast computation of Wasserstein barycenters, Proceedings of the 31st International Conference on Machine Learning (ICML-14), pp.685-693, 2014.

Y. Kim and B. Pass, Wasserstein barycenters over Riemannian manifolds, Advances in Mathematics, vol.307, pp.640-683, 2017.
DOI : 10.1016/j.aim.2016.11.026
URL : http://arxiv.org/abs/1412.7726

R. Mccann, A Convexity Principle for Interacting Gases, Advances in Mathematics, vol.128, issue.1, pp.153-179, 1997.
DOI : 10.1006/aima.1997.1634

C. Villani, Topics in optimal transportation, Graduate Series in Mathematics, vol.58, 2003.
DOI : 10.1090/gsm/058