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math.AP2026
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance
F. -U. Caja-Lopez, Matias G. Delgadino, Jun Kitagawa
We establish several quantitative stability estimates for optimal transport maps between non-degenerate densities on uniformly convex domains for the quadratic cost. Under Hölder…
math.AP2025
Conditions for existence of single valued optimal transport maps on convex boundaries with nontwisted cost
Seonghyeon Jeong, Jun Kitagawa
We prove that if is a (not necessarily strictly) convex, domain, and and are probability measures absolutely continuous with respec…