5 papers
Nested superposition principle for random measures and the geometry of the Wasserstein on Wasserstein space
Alessandro Pinzi, Giuseppe Savaré
We study the geometric structure of the space of random measures , endowed with the Wasserstein on Wasserstein metric, where is a complete…
Totally convex functions, -Optimal transport for laws of random measures, and solution to the Monge problem
Alessandro Pinzi, Giuseppe Savaré
We study the Optimal Transport problem for laws of random measures in the Kantorovich-Wasserstein space , associated with a Hilbert space…
The superposition principle for the continuity equation with singular flux
Stefano Almi, Riccarda Rossi, Giuseppe Savaré
Representation results for absolutely continuous curves , , with values in the Wasserstein space of…
Generalized Wasserstein Barycenters
Francesco Tornabene, Marco Veneroni, Giuseppe Savaré
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…
Abstract Action Spaces and their topological and dynamic properties
Riccarda Rossi, Giuseppe Savaré
We introduce the concept of action space, a set endowed with an action cost satis…