Session S06 - Interacting Stochastic Systems

Wednesday, July 14, 15:25 ~ 16:00 UTC-3

The directed landscape

Duncan Dauvergne

Princeton University, United States   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The directed landscape is a random directed metric on the spacetime plane that arises as the scaling limit of integrable models of last passage percolation. It is expected to be the universal scaling limit for all models in the KPZ universality class for random growth. In this talk, I will describe its construction in terms of the Airy line ensemble via an isometric property of the Robinson-Schensted-Knuth correspondence.

Joint work with Janosch Ortmann (Université du Québec à Montréal) and Bálint Virág (University of Toronto).

View abstract PDF