Non-existence of optimal transport maps for the multi-marginal repulsive harmonic cost
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Abstract (arXiv)
We give an example of an absolutely continuous measure μ on mathbb Rd, for any d ≥ 1, such that no minimizer of the 3-marginal harmonic repulsive cost with all marginals equal to μ is supported on a graph over the first variable.
Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). First posted on arXiv 1 May 2018.
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