Student Probability/PDE Seminar: KPZ Universality and Determinantal Processes I
Seminar | August 30 | 2:10-3:30 p.m. | 891 Evans Hall
Fraydoun Rezakhanlou, UC Berkeley
Kardar-Parisi-Zhang (KPZ) universality has been rigorously verified for a number of exactly solvable models such as Hammersley-Aldous-Diaconis and exclusion processes. A key ingredient for this verification is a determinantal type representation for the correlation function. In these lectures I give an overview of the existing results and present a direct and simple proof of the determinantal formula of Borodin et al.