Kevin Yang
UC Berkeley
Title
Towards KPZ universality for a class of nonlinear SPDEs
Abstract
The Kardar-Parisi-Zhang (KPZ) equation was introduced in the physics literature as a conjecturally universal effective description for interface growth. In this talk, we will discuss the derivation of the KPZ equation from a class of (non-integrable) Ginzburg-Landau SPDEs, answering questions of Hairer and Quastel. We will also discuss progress towards the derivation of the KPZ fixed point (e.g. random matrix statistics) at large scales from these SPDEs.
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