Optimal Transportation and Applications
timetable:
Fri 6 Dec, 9:00 - 9:45, Aula Dini
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On the existence of dual solutions in Lorentzian Optimal Transport
speaker: Stefan Suhr (Ruhr-Universität Bochum)abstract: Contrary to optimal transportation in the Riemannian metric world, in Lorentzian optimal transport dual solutions might not exist even though Kantorovich duality still holds. The underlying reason is the non-Lipschitz behavior of the cost function near the light cones. I will explain the geometry behind these phenomenon and show that it has interesting consequences for dynamical optimal couplings in spacetimes. Further I will discuss consequences of the existence of a dual solution for the underlying transport problem.
timetable:
Fri 6 Dec, 9:00 - 9:45, Aula Dini
<< Go back