L. Portinale

collaborators

2 papers

math.OC2026

On the $q$ -integrability of $p$ -Wasserstein barycenters

Camilla Brizzi, Lorenzo Portinale

We study the $L^{q}$ -regularity of the density of barycenters of $N$ probability measures on $R^{d}$ with respect to the $p$ -Wasserstein metric ( $1 < p < \infty$ ). According to a…

math-ph2025

Limit theorems for empirical measures of interacting quantum systems in Wasserstein space

Lorenzo Portinale, Simone Rademacher, DÃ¡niel Virosztek

We prove fundamental properties of empirical measures induced by measurements performed on quantum $N$ -body systems. More precisely, we consider measurements performed on the groun…

On the q-integrability of p-Wasserstein barycenters

Limit theorems for empirical measures of interacting quantum systems in Wasserstein space

On the $q$ -integrability of $p$ -Wasserstein barycenters