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.