14 citations · 19 across the 7 of their papers we have counts for
10 papers
Some reverse inequality in optimal mass transportation
Luigi De Pascale, Igor Pinheiro
Controlling the Wasserstein distance by the Wasserstein distance is interesting both for theorical and numerical applications. A first paper on t…
Dissociation limits in Density Functional Theory
Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion +1
In this paper we consider the {\it Density Functional Theory} (DFT) framework, where a functional of the form $$F_\eps(ρ)=\eps T(ρ)+bC(ρ)-U(ρ)$$ has to be minimized in the class of…
A regularized transportation cost stemming from entropic approximation
Camilla Brizzi, Luigi De Pascale, Anna Kausamo
We study the entropic regularizations of optimal transport problems under suitable summability assumptions on the point-wise transport cost. These summability assumptions already a…
A variational formulation of a Multi-Population Mean Field Games with non-local interactions
Luigi De Pascale, Luca Nenna
We propose a MFG model with quadratic Hamiltonian involving populations. This results in a system of Hamilton-Jacobi-Bellman and Fokker-Planck equations with non-local…
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.
Dissociating limit in Density Functional Theory with Coulomb optimal transport cost
Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion +1
In the framework of Density Functional Theory with Strongly Correlated Electrons we consider the so called bond dissociating limit for the energy of an aggregate of atoms. We show…