Giuseppe Savaré

collaborators

4 papers

math.FA2025

Nested superposition principle for random measures and the geometry of the Wasserstein on Wasserstein space

Alessandro Pinzi, Giuseppe SavarÃ©

We study the geometric structure of the space of random measures $P_{p} (P_{p} (X))$ , endowed with the Wasserstein on Wasserstein metric, where $(X, d)$ is a complete…

math.FA2025

Totally convex functions, $L^{2}$ -Optimal transport for laws of random measures, and solution to the Monge problem

Alessandro Pinzi, Giuseppe SavarÃ©

We study the Optimal Transport problem for laws of random measures in the Kantorovich-Wasserstein space $P_{2} (P_{2} (H))$ , associated with a Hilbert space…

math.PR2025

Generalized Wasserstein Barycenters

We study the existence and uniqueness of the barycenter of a signed distribution of probability measures on a Hilbert space. The barycenter is found, as usual, as a minimum of a fu…

math.AP2025

The superposition principle for the continuity equation with singular flux

Representation results for absolutely continuous curves $I^¼ : [0, T] \to P_{p} (R^{d})$ , $p > 1$ , with values in the Wasserstein space $(P_{p} (R^{d}), W_{p})$ o…

Nested superposition principle for random measures and the geometry of the Wasserstein on Wasserstein space

Totally convex functions, L2-Optimal transport for laws of random measures, and solution to the Monge problem

Generalized Wasserstein Barycenters

The superposition principle for the continuity equation with singular flux

Totally convex functions, $L^{2}$ -Optimal transport for laws of random measures, and solution to the Monge problem