Il giorno mercoledì 12.11.2025 alle ore 10.00 in Sala Riunioni primo livello il Dott. Giacomo Sodini (Università di Vienna) terrà il seguente
seminario:

Titolo: Sobolev functions in spaces of (probability) measures and applications

Abstract: We show that the geometric and the metric approach to the definition of Sobolev spaces on spaces of (probability) measures coincide, provided suitable reference measures are chosen. For a specific (and in some way, canonical) choice of such a measure, we consider the induced Dirichlet form, which is naturally associated to a diffusion process on the space of non-negative measures endowed with the Hellinger–Kantorovich distance. Applications to image classification are also presented. This work has been done in collaboration with Lorenzo Dello Schiavo, Massimo Fornasier, and Pascal Heid.