Optimal Transportation of Vector-Valued Measures
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Abstract (arXiv)
Given two n-dimensional measures μ and nu 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.
Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). First posted on arXiv 15 Jan 2019.
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