Event
Kevin Yang (Harvard University)
Thursday, March 13, 2025 11:30to12:30
Burnside Hall
Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title:聽KPZ equation from a class of nonlinear Ginzburg-Landau SPDEs.
Abstract:聽The KPZ equation is a conjecturally universal model for many dynamical interface fluctuations, introduced by Kardar, Parisi, and Zhang. The main result of this talk is a rigorous derivation of the KPZ equation as a scaling limit for a class of Ginzburg-Landau SPDEs, which itself is a large part of the motivation in Kardar, Parisi, and Zhang's original paper. This also gives the first derivation of random matrix statistics from this general class of Ginzburg-Landau SPDEs.
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