Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data
classification
🧮 math.AP
math-phmath.MP
keywords
costcoulombdatamapsmultimarginaloptimaltransportclasses
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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.
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