Luca Nenna

By using Grand Canonical Optimal Transport we provide a counter-example showing that the ground state energy of electrons in an external Coulomb potential is not always a convex function of the number of electrons. This property has been conjectured...

The minimization of a relative entropy (with respect to the Wiener measure) is a very old problem which dates back to Schrödinger. C. Léonard has between this problem and the Monge-Kantorovich problem with quadratic cost (namely the standard Optimal...

In this talk we consider a class of games with continuum of players where equilibrium can be obtained by the minimization of a certain functional related to optimal transport. We then use the powerful entropic regularization technique to approximate...

In this talk I will firstly review standard Multimarginal Optimal Transport ( a fixed number N of marginals is fixed) focusing, in particular, on the applications in Quantum Mechanics (in this case the marginals are all the same and represent the...