Title. Multiplicative Schrödinger problem and the Dirichlet transport

Abstract. The Schrödinger problem is a probabilistic relaxation of an optimal transport problem. It reduces many analytical problems, such as proving gradient flows of entropy, to a problem of large deviations of random particle 
systems. We will talk about this approach in the context of Wasserstein and the recently introduced Dirichlet transport on the unit 
simplex. The latter can be thought of as a multiplicative analog of the Wasserstei transport and shares many of its amazing properties. 
It also appears to be closely related to the entropic measure as introduced by Sturm and Von Renesse in the context of Wasserstein 
diffusion. Partly based on joint work with Leonard Wong.