This work is licensed under the Creative Commons Attribution 4.0 International License.
L. Ambrosio, Optimal transport maps in Monge–Kantorovich problem, in: T. Li (ed.), Proceedings of the International Congress of Mathematicians. Vol. III, Higher Education Press, Beijing, 2002, pp. 131–140.AmbrosioL.Optimal transport maps in Monge–Kantorovich problemin:LiT.(ed.)Proceedings of the International Congress of MathematiciansIIIHigher Education PressBeijing2002131140Search in Google Scholar
J. Bentley, Construction of regular non-atomic strictly-positive measures in second-countable non-atomic locally compact Hausdorff spaces, Ann. Math. Sil. 36 (2022), no. 1, 15–25.BentleyJ.Construction of regular non-atomic strictly-positive measures in second-countable non-atomic locally compact Hausdorff spacesAnn. Math. Sil.36202211525Search in Google Scholar
J. Bentley and P. Mikusiński, Localized transfunctions, Int. J. Appl. Math. 31 (2018), no. 6, 689–707.BentleyJ.MikusińskiP.Localized transfunctionsInt. J. Appl. Math.3120186689707Search in Google Scholar
J.R. Brown, Approximation theorems for Markov operators, Pacific J. Math. 16 (1966), no. 1, 13–23.BrownJ.R.Approximation theorems for Markov operatorsPacific J. Math.16196611323Search in Google Scholar
S. Campi, P. Gronchi, and P. Salani, A proof of a Loomis–Whitney type inequality via optimal transport, J. Math. Anal. Appl. 471 (2019), no. 1–2, 489–495.CampiS.GronchiP.SalaniP.A proof of a Loomis–Whitney type inequality via optimal transportJ. Math. Anal. Appl.47120191–2489495Search in Google Scholar
P. Jiménez Guerra and B. Rodríguez-Salinas, A general solution of the Monge–Kantorovich mass-transfer problem, J. Math. Anal. Appl. 202 (1996), no. 2, 492–510.Jiménez GuerraP.Rodríguez-SalinasB.A general solution of the Monge–Kantorovich mass-transfer problemJ. Math. Anal. Appl.20219962492510Search in Google Scholar
H.W. Kuhn, The Hungarian method for the assignment problem, Naval Res. Logist. Quart. 2 (1955), 83–97.KuhnH.W.The Hungarian method for the assignment problemNaval Res. Logist. Quart.219558397Search in Google Scholar
P. Mikusiński, Transfunctions, arXiv preprint, 2015. Available at arXiv: 1507.03441.MikusińskiP.TransfunctionsarXiv preprint2015Available at arXiv: 1507.03441Search in Google Scholar
P. Mikusiński and M.D. Taylor, Markov operators and n-copulas, Ann. Polon. Math. 96 (2009), no. 1, 75–95.MikusińskiP.TaylorM.D.Markov operators and n-copulasAnn. Polon. Math.96200917595Search in Google Scholar
C. Villani, Optimal Transport: Old and New, Springer-Verlag, Berlin-Heidelberg, 2009.VillaniC.Optimal Transport: Old and NewSpringer-VerlagBerlin-Heidelberg2009Search in Google Scholar