EDP Sciences logo
Subscriber Authentication Point
Sciengine logo
Search
Menu
All issues Volume 60 / No 2 (March-April 2026) ESAIM: M2AN, 60 2 (2026) 1055-1079 References
Open Access
Issue
ESAIM: M2AN
Volume 60, Number 2, March-April 2026
Page(s) 1055 - 1079
DOI https://doi.org/10.1051/m2an/2026030
Published online 29 April 2026
  1. O. Abdul Halim and B. Pass, Multi-to one-dimensional screening and semi-discrete optimal transport. Preprint arXiv:2506.21740 (2025). [Google Scholar]
  2. M. Agueh and G. Carlier, Barycenters in the Wasserstein space. SIAM J. Math. Anal. 43 (2011) 904–924. [Google Scholar]
  3. F. Aurenhammer, Power diagrams: properties, algorithms and applications. SIAM J. Comput. 16 (1987) 78–96. [Google Scholar]
  4. A. Blanchet and G. Carlier, From Nash to Cournot-Nash equilibria via the Monge Kantorovich problem. Philos. Trans. R. Soc. A 372 (2014) 20130398. [Google Scholar]
  5. A. Blanchet and G. Carlier, Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case. Math. Financ. Econ. 8 (2014) 417–433. [Google Scholar]
  6. A. Blanchet and G. Carlier, Optimal transport and Cournot-Nash equilibria. Math. Oper. Res. 41 (2016) 125–145. [Google Scholar]
  7. A. Blanchet, G. Carlier and L. Nenna, Computation of Cournot-Nash equilibria by entropic regularization. Vietnam J. Math. (2017). [Google Scholar]
  8. D.P. Bourne and S.M. Roper, Centroidal power diagrams, Lloyd’s algorithm, and applications to optimal location problems. SIAM J. Numer. Anal. 53 (2015) 2545–2569. [Google Scholar]
  9. G. Buttazzo and F. Santambrogio, A model for the optimal planning of an urban area. SIAM J. Math. Anal. 37 (2005) 514–530. [Google Scholar]
  10. G. Buttazzo and F. Santambrogio, A mass transportation model for the optimal planning of an urban region. SIAM Rev. 51 (2009) 593–610. [Google Scholar]
  11. G. Carlier and I. Ekeland, The structure of cities. J. Glob. Optim. 29 (2004) 371–376. [Google Scholar]
  12. G. Carlier and F. Santambrogio, A variational model for urban planning with traffic congestion. ESAIM: Control Optim. Calc. Var. 11 (2005) 595–613. [Google Scholar]
  13. P.-A. Chiappori, R. McCann and L. Nesheim, Hedonic price equilibria, stable matching and optimal transport; equivalence, topology and uniqueness. Econ. Theory 42 (2010) 317–354. [Google Scholar]
  14. P.-A. Chiappori, R.J. McCann and B. Pass, Multi- to one-dimensional optimal transport. Commun. Pure Appl. Math. 70 (2017) 2405–2444. [Google Scholar]
  15. F. De Gournay, J. Kahn and L. Lebrat, Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure. Numer. Math. 141 (2019) 429–453. [Google Scholar]
  16. L. Dieci and D. Omarov, Solving semi-discrete optimal transport problems: star shapedeness and Newton’s method. Numer. Algorithms 99 (2025) 949–1004. [Google Scholar]
  17. L. Dieci and J.D. Walsh III, The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation. J. Comput. Appl. Math. 353 (2019) 318–344. [Google Scholar]
  18. I. Ekeland, An optimal matching problem. ESAIM: Control Optim. Calc. Var. 11 (2005) 57–71. [Google Scholar]
  19. A. Galichon, Optimal Transport Methods in Economics. Princeton University Press, Princeton (2016). [Google Scholar]
  20. V.N. Hartmann and D. Schuhmacher, Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case. Math. Method. Oper. Res. (2020) 1–31. [Google Scholar]
  21. J. Kitagawa, Q. Mérigot and B. Thibert, Convergence of a Newton algorithm for semi-discrete optimal transport. J. Eur. Math. Soc. 21 (2019) 2603–2651. [CrossRef] [MathSciNet] [Google Scholar]
  22. B. Lévy, A numerical algorithm for L2 semi-discrete optimal transport in 3D. ESAIM: Math. Model. Numer. Anal. 49 (2015) 1693–1715. [Google Scholar]
  23. R.J. McCann, Polar factorization of maps on Riemannian manifolds. Geom. Funct. Anal. 11 (2001) 589–608. [Google Scholar]
  24. Q. Merigot and B. Thibert, Optimal transport: discretization and algorithms, in Handbook of Numerical Analysis, Vol. 22 (2021) 133–212. [Google Scholar]
  25. L. Nenna and B. Pass, Variational problems involving unequal dimensional optimal transport. J. Math. Pures Appl. 139 (2020) 83–108. [Google Scholar]
  26. L. Nenna and B. Pass, A note on Cournot-Nash equilibria and optimal transport between unequal dimensions, in Optimal Transport Statistics for Economics and Related Topics (2023) 117–130. [Google Scholar]
  27. G. Peyré and M. Cuturi, Computational optimal transport. Found. Trends Mach. Learn. 11 (2019) 355–607. [CrossRef] [Google Scholar]
  28. F. Santambrogio, Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling. Birkhäuser (2015). [Google Scholar]
  29. C. Villani, Optimal Transport: Old and New. Springer, Berlin (2009). [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you