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Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data

We disprove a conjecture in Density Functional Theory, relative to multimarginal optimal transport maps with Coulomb cost. We also provide examples of maps satisfying optimality conditions for special classes of data.

preprint2015arXivOpen access
Maria ColomboFederico Stra
math.APmath-phmath.MP
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Maria ColomboFederico Stra

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