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math.OC2025
Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem
Alec Metsch
We study semiconvexity properties of (weak) Kantorovich potentials for the Lorentzian optimal transport problem with the standard cost function . We show that, in general, this…
math.OC2025
On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime
Alec Metsch
Extending the recent work of Cannarsa, Cheng and Fathi, we investigate topological properties of the locus of multiple maximizing geodesics on a globally hyperboli…
math.OC2025
optimal pairs in the dual optimal transport problem for a Lorentzian cost along displacement interpolations
Alec Metsch
We consider the optimal transportation problem on a globally hyperbolic spacetime with a cost function , which corresponds to the optimal transportation problem on a complete Ri…