UVictoria Probability and Dynamics Seminar: Sayan Das

The directed landscape is a random directed metric on the plane that arises as a scaling limit of a classical metric models in the KPZ universality class. In this talk, we will discuss a functional large deviation principle (LDP) for the entire random metric. Applying the contraction principle, our result yields an LDP for the geodesics in the directed landscape. If time permits, we will also mention certain interesting features of the rate function for the geodesic LDP. Based on a joint work with Duncan Dauvergne and Balint Virag.