6 citations · 11 across the 8 of their papers we have counts for
8 papers
Relaxed many-body optimal transport and related asymptotics
Ugo Bindini, Guy Bouchitté
Optimization problems on probability measures in are considered where the cost functional involves multi-marginal optimal transport. In a model of interacting pa…
Removability of product sets for Sobolev functions in the plane
Tapio Rajala, Ugo Bindini
We study conditions on closed sets making the product removable or non-removable for . The main results show that the Hausdorff-dimen…
Uniform approximation of continuous couplings
Ugo Bindini, Tapio Rajala
We study the approximation of non-negative multi-variate couplings in the uniform norm while matching given single-variable marginal constraints.
On deterministic solutions for multi-marginal optimal transport with Coulomb cost
Ugo Bindini, Luigi De Pascale, Anna Kausamo
In this paper we study the three-marginal optimal mass transportation problem for the Coulomb cost on the plane . The key question is the optimality of the so-called Seidl ma…
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.
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 …