Proves existence conditions, Gamma-convergence to repulsive multi-marginal OT, and entropy-regularized duality for the entropy-transport functional in metric spaces.
Sturm, On the geometry of metric measure spaces , Acta Math., 196 (2006), pp
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Multi-marginal Entropy-Transport with repulsive cost
Proves existence conditions, Gamma-convergence to repulsive multi-marginal OT, and entropy-regularized duality for the entropy-transport functional in metric spaces.