Speaker
Viràg, University of Toronto
Abstract
Probabilists prefer objects constructed from iid random variables. But so far, in KPZ, the limiting objects had to be defined using determinantal formulas or a Gibbs property.
In joint work with Duncan Dauvergne, we show that the directed landscape in the upper half plane is in natural deterministic bijection with an iid sequence of Brownian motions. In fact, this bijection is the ultimate limit of the RSK correspondence.