Theory of optimal transport for Lorentzian cost functions
  The optimal transport problem is studied in the context of Lorentz-Finsler geometry. For globally hyperbolic Lorentz-Finsler spacetimes the first Kantorovich problem and the Monge problem are solved. Further the intermediate regularity of the transport paths is studied. These results generalize parts of Bertrand & Puel and Brenier et al. 
Stefan Suhr
math.DG math-ph math.MP math.OC