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math.AP2019
Homogenisation of one-dimensional discrete optimal transport
Peter Gladbach, Eva Kopfer, Jan Maas +1
This paper deals with dynamical optimal transport metrics defined by spatial discretisation of the Benamou--Benamou formula for the Kantorovich metric . Such metrics appear na…
math.AP2019
Limits of density-constrained optimal transport
Peter Gladbach, Eva Kopfer
We consider the problem of dynamic optimal transport with a density constraint. We derive variational limits in terms of -convergence for two singular phenomena. First, for dens…