Evgeni Dimitrov
University of Southern California
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 q, c, 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.
Topic: Prob Seminar: Evgeni Dimitrov
Time: Feb 12, 2026 10:15 AM Eastern Time (US and Canada)
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