Speaker
Virag, University of Toronto
Abstract
In the KPZ universality class, random growth and last-passage models in the plane converge to a universal object known as the directed landscape – a random directed metric encoding optimal paths and last-passage times.
In this talk, I will describe a bijection that recovers the full directed landscape from a sequence of independent Brownian motions. This construction is the natural scaling limit of the classical Robinson–Schensted–Knuth (RSK) correspondence and gives a clean dictionary between simple noise and rich random directed geometry.
Joint work with Duncan Dauvergne.