12 citations · 12 across the 5 of their papers we have counts for
3 papers
math-ph2023
Universal diagonal estimates for minimizers of the Levy-Lieb functional
Simone Di Marino, Augusto Gerolin, Luca Nenna
Given a wave-function minimizing the Levy-Lieb functional, the intent of this short note is to give an estimate of the probability of the particles being in positions $(x_1, \ldots…
math.AP2022
Optimal transport with nonlinear mobilities: a deterministic particle approximation result
Simone Di Marino, Lorenzo Portinale, Emanuela Radici
We study the discretization of generalized Wasserstein distances with nonlinear mobilities on the real line via suitable discrete metrics on the cone of N ordered particles, a sett…
math.MG2014★ 12 cited
Sobolev and BV spaces on metric measure spaces via derivations and integration by parts
Simone Di Marino
We develop a theory of BV and Sobolev Spaces via integration by parts formula in abstract metric spaces; the role of vector fields is played by Weaver's metric derivations. The def…