11 Febbraio, 2020 15:15
Sezione di Analisi
Entropy-Transport distances between measures and metric measure spaces
Nicolò De Ponti, Università degli Studi di Pavia
Aula seminari 3° piano
Abstract
After providing the necessary background material, we describe a class of distances coming from optimal Entropy-Transport problems, a recent generalization of optimal transport where also creation and destruction of mass is taken into account.
Inspired by previous work of Gromov and Sturm, we then use these metrics to construct new meaningful distances between metric measure spaces with finite mass.
This talk is based on a joint collaboration with Andrea Mondino and Giuseppe Savaré.