RTGC Seminar: Current Fluctuations of the Stationary ASEP and Six-Vertex Model

Seminar | March 17 | 4-5:30 p.m. | 939 Evans Hall

 Amol Aggarwal, MIT

 Department of Mathematics

We consider the following three models from statistical mechanics: the asymmetric simple exclusion process, the stochastic six-vertex model, and the ferroelectric symmetric six-vertex model. It had been predicted by the physics communities for some time that the limiting behavior for these models, run under certain classes of translation-invariant (stationary) boundary data, are governed by the large-time statistics of the stationary Kardar-Parisi-Zhang (KPZ) equation. The purpose of this talk is to explain these predictions in more detail and survey some of our recent work that verifies them.