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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 288: Probability & Statistics
Evgeni Dimitrov
USC
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.
February 5, 2026
11:00 AM
APM 6402 & Zoom
Research Areas
Probability Theory Statistics****************************
