Buongiorno sotto l'annuncio di un seminario a Roma1. Grazie. Alessandra Faggionato %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Martedi' 7 Maggio, ore 14:00, Aula di Consiglio, Dip. Matematica, La Sapienza Speaker: Lorenzo Dello Schiavo (Università di Bonn) Titolo: The Dirichlet-Ferguson diffusion Abstract: We define, via Dirichlet forms’ theory, a geometric diffusion process on the L^2-Wasserstein space over a closed Riemannian manifold. The process is associated with the Dirichlet form induced by the L^2-Wasserstein gradient and by the Dirichlet-Ferguson random measure with intensity the Riemannian volume measure on the base manifold. We discuss the closability of the form via an integration-by-parts formula, which allows explicit computations for the generator and a specification of the process via a measure-valued SPDE. We comment how the construction is related to previous work of von Renesse—Sturm on the Wasserstein Diffusion and of Konarovskyi—von Renesse on the Modified Massive Arratia Flow. -- ************************************************* Prof. Alessandra Faggionato http://www1.mat.uniroma1.it/~faggionato/ Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome Office 5, Phone (0039) 06 49913252 *************************************************