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Optimal Transportation of Vector-Valued Measures
2019-01-15 · via math.PR updates on arXiv.org

Given two n-dimensional measures $μ$ and $ν$ on Polish spaces, we propose an optimal transportation's formulation, inspired by classical Kan-torovitch's formulation in the scalar case. In particular, we established a strong duality result and as a consequence, optimality conditions are investigated. Wasserstein's metrics induced by our formulation are also investigated.

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