Evgeni Dimitrov, USC

Title: Line ensembles in symmetrized geometric last passage percolation

Abstract: In this talk, I will discuss symmetrized geometric last passage percolation. This is a prototypical model in the half-space KPZ universality class that has a natural interpretation as a line ensemble (a collection of random continuous functions). The model depends on parameters , which control the background noise strength away from and at the boundary of the model, respectively. Depending on whether c < 1(subcritical), c = 1 (critical), or c > 1 (supercritical), the model exhibits different asymptotic behavior, and I will discuss some recent progress in understanding this from a line ensemble perspective.