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math.AP2026
Partial regularity of optimal transport with Coulomb cost
Gero Friesecke, Tobias Ried
We prove that for two-marginal optimal transport with Coulomb cost on , the optimal map is a diffeomorphism outside a closed set of Lebesgue measure zero p…
math.AP2026
Mass splitting in the time-discrete generalized Euler equations and non-Monge solutions in multi-marginal optimal transport
Gero Friesecke
The time-discretized, spatially continuous generalized Euler equations are a prototype example of multi-marginal optimal transport, yet the question whether they exhibit mass-split…