3 papers
math.FA2026
A Brenier-Strassen Theorem on CAT(kappa) Spaces
Nathael Gozlan, Hugo Malamut, Shin-Ichi Ohta
We extend the Brenier-Strassen theorem about projections in convex order to non-flat spaces with curvature bounded from above. Precisely, for probability measures , of finit…
math.OC2025
Weak optimal transport with moment constraints: constraint qualification, dual attainment and entropic regularization
Guillaume Carlier, Hugo Malamut, Maxime Sylvestre
We consider weak optimal problems (possibly entropically penalized) incorporating both soft and hard (including the case of the martingale condition) moment constraints. Even in th…
math.AP2024
Well-posedness and convergence of entropic approximation of semi-geostrophic equations
Guillaume Carlier, Hugo Malamut
We prove existence and uniqueness of solutions for an entropic version of the semi-geostrophic equations. We also establish convergence to a weak solution of the semi-geostrophic e…