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math.AP2015
Lipschitz Changes of Variables between Perturbations of Log-concave Measures
Maria Colombo, Alessio Figalli, Yash Jhaveri
Extending a result of Caffarelli, we provide global Lipschitz changes of variables between compactly supported perturbations of log-concave measures. The result is based on a combi…
math.AP2015
Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data
Maria Colombo, Federico Stra
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 co…