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math-ph2019★ 1 cited
From wave-functions to single electron densities
Ugo Bindini, Luigi De Pascale
We investigate some of the properties of the mapping from wave-functions to single particle densities, partially answering an open question posed by E. H. Lieb in 1983.
math.OC2019★ 6 cited
Smoothing operators in multi-marginal Optimal Transport
Ugo Bindini
Given absolutely continuous probabilities over which have Sobolev regularity, and given a transport plan with marginals …