Open Access
Volume 24, 2020
Page(s) 703 - 717
Published online 16 November 2020
  1. A. Alfonsi, J. Corbetta and B. Jourdain, Sampling of probability measures in the convex order by Wasserstein projection. Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020) 1706–1729. [CrossRef] [Google Scholar]
  2. J.-J. Alibert, G. Bouchitté and T. Champion, A new class of costs for optimal transport planning. Eur. J. Appl. Math. 30 (2019) 1229–1263. [Google Scholar]
  3. L. Ambrosio and W. Gangbo, Hamiltonian ODEs in the Wasserstein space of probability measures. Commun. Pure Appl. Math. 61 (2008) 18–53. [Google Scholar]
  4. L. Ambrosio, N. Gigli and G. Savaré, Gradient flows in metric spaces and in the space of probability measures. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel (2005). [Google Scholar]
  5. J. Backhoff-Veraguas, M. Beiglböck, G. Pammer, Existence, duality, and cyclical monotonicity for weak transport costs. Calc. Var. Partial Differ. Equ. 58 (2019) Art. 203. [Google Scholar]
  6. N. Bouleau and D. Lépingle, Numerical methods for stochastic processes. Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics. John Wiley & Sons, Inc., New York (1994). [Google Scholar]
  7. P. Cardaliaguet, Notes on Mean-Field Games (from P.-L. Lions lectures at Collège de France). Available at: (2013). [Google Scholar]
  8. R. Carmona and F. Delarue, Probabilistic theory of mean field games with applications. I. Mean field FBSDEs, control, and games. Vol. 83 of Probability Theory and Stochastic Modelling. Springer, Cham (2018). [Google Scholar]
  9. H. Föllmer and A. Schied, Stochastic finance, An introduction in discrete time. Walter de Gruyter & Co., Berlin, third edition (2011). [CrossRef] [Google Scholar]
  10. W. Gangbo and A. Tudorascu, On differentiability in the Wasserstein space and well-posedness for Hamilton-Jacobi equations. J. Math. Pures Appl. 125 (2019) 119–174. [Google Scholar]
  11. N. Gigli, On the inverse implication of Brenier-McCann theorems and the structure of (P2,(M), W2). Methods Appl. Anal. 18 (2011) 127–158. [Google Scholar]
  12. N. Gozlan and N. Juillet, On a mixture of Brenier and Strassen theorems. Proc. Lond. Math. Soc. 120 (2020) 434–463. [CrossRef] [Google Scholar]
  13. N. Gozlan, C. Roberto, P.-M. Samson, Y. Shu and P. Tetali, Characterization of a class of weak transport-entropy inequalities on the line. Ann. Inst. Henri Poincaré Probab. Stat. 54 (2018) 1667–1693. [CrossRef] [Google Scholar]
  14. O. Kallenberg, Foundations of modern probability. Probability and its Applications (New York). Springer-Verlag, New York (1997). [Google Scholar]
  15. P.-L. Lions, Cours au Collège de France (2008). [Google Scholar]
  16. F. Santambrogio, Optimal transport for applied mathematicians. In Vol. 87 of Progress in Nonlinear Differential Equations and theirApplications. Birkhäuser/Springer (2015). [CrossRef] [Google Scholar]
  17. V. Strassen, The existence of probability measures with given marginals. Ann. Math. Statist. 36 (1965) 423–439. [CrossRef] [Google Scholar]
  18. C. Villani, Vol. 338 of Optimal transport, Old and New. Springer-Verlag (2009). [CrossRef] [Google Scholar]
  19. C. Wu and J. Zhang, An Elementary Proof for the Structure of Derivatives in Probability Measures. Preprint ArXiv 1705.08046 (2017). [Google Scholar]

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