Abstract for the talk on 27.09.2018 (11:00 h)
Mathematics of Data SeminarMax von Renesse (Universität Leipzig)
Topics in Deterministic and Stochastic Dynamical Systems on Wasserstein Space
This is a topical survey talk about certain canonical dynamical systems on the space of proabability measures when considered as an infinite dimensional manifold equipped with Otto's Riemannian structure for optimal transportation. Apart from classical gradient flows we will discuss Hamiltonian systems and connections to Quantum mechanics as well as candidate processes for what can be considered Brownian motion associated to the corresponding infinite dimensional Laplace-Beltrami operator.