3 papers
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…
math.OC2024
Optimal transport and regularity of weak Kantorovich potentials on a globally hyperbolic spacetime
Alec Metsch
We consider the optimal transportation problem on a globally hyperbolic spacetime for some cost function , which corresponds to the optimal transportation problem on a complet…