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Pinning in symmetrized geometric last passage percolation
Probability| Speaker: | Evgeni Dimitrov, University of Southern California |
| Location: | zoom |
| Start time: | Thu, Apr 2 2026, 1:10PM |
Description
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. Based on joint works with Das, Serio, Yang, and Zhou.