A. Alfonsi, J. Corbetta, J. , and B. , Sampling of probability measures in the convex order by Wasserstein projection and approximation of martingale optimal transport problems, 2018.

D. Baker, Martingales with specified marginals. Theses, 2012.

M. Beiglböck and N. Juillet, On a problem of optimal transport under marginal martingale constraints, Ann. Probab, vol.44, issue.1, pp.42-106, 2016.

M. Beiglböck, P. Henry-labordère, and F. Penkner, Model-independent bounds for option prices-a mass transport approach, Finance Stoch, vol.17, issue.3, pp.477-501, 2013.

J. Benamou, G. Carlier, M. Cuturi, L. Nenna, P. et al., Iterative Bregman projections for regularized transportation problems, SIAM J. Sci. Comput, vol.37, issue.2, pp.1111-1138, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01096124

H. Föllmer and A. Schied, Stochastic finance, An introduction in discrete time, 2011.

P. Henry-labordère and N. Touzi, An explicit martingale version of the onedimensional Brenier theorem, Finance Stoch, vol.20, issue.3, pp.635-668, 2016.

D. Hobson and M. Klimmek, Robust price bounds for the forward starting straddle, Finance Stoch, vol.19, issue.1, pp.189-214, 2015.

D. Hobson and A. Neuberger, Robust bounds for forward start options, Math. Finance, vol.22, issue.1, pp.31-56, 2012.

R. P. Kertz and U. Rösler, Stochastic and convex orders and lattices of probability measures, with a martingale interpretation, Israel J. Math, vol.77, issue.1-2, pp.129-164, 1992.

R. P. Kertz and U. Rösler, Complete lattices of probability measures with applications to martingale theory, Game theory, optimal stopping, probability and statistics, vol.35, pp.153-177, 2000.

A. Müller and M. Scarsini, Stochastic order relations and lattices of probability measures, SIAM J. Optim, vol.16, issue.4, pp.1024-1043, 2006.

G. Pagès and B. Wilbertz, Intrinsic stationarity for vector quantization: foundation of dual quantization, SIAM J. Numer. Anal, vol.50, issue.2, pp.747-780, 2012.

F. Santambrogio, Optimal transport for applied mathematicians, Progress in Nonlinear Differential Equations and their Applications, vol.87, 2015.

M. Shaked and J. G. Shanthikumar, Stochastic orders, Springer Series in Statistics, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00539122

V. Strassen, The existence of probability measures with given marginals, Ann. Math. Statist, vol.36, pp.423-439, 1965.