Student Analysis Seminar

In this talk, we will introduce the optimal transport (OT) problem on Euclidean space with cost induced by a Lagrangian. We will discuss the Monge, Kantorovich, Lagrangian and Eulerian formulations of this OT problem and their relations. In particular, the Lagrangian and Eulerian formulations give rise to the notion of a displacement interpolant, which will allow us to study convexity properties of generalized entropy functionals on the space of probability measures. This talk is based on a previous study with Dr. Wilfrid Gangbo. Speaker(s): Yuchuan Yang (University of Michigan)