Six-Vertex Model and the KPZ Universality Class

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Amol Aggarwal, IAS
Jadwin Hall A06

In-Person Talk 

In this talk we explain recent results relating the six-vertex model and the Kardar-Parisi-Zhang (KPZ) universality class. In particular, we describe how the six-vertex model can be used to analyze stochastic interacting particle systems, such as asymmetric exclusion processes, and how infinite-volume pure states of the ferroelectric six-vertex model exhibit fluctuations of order $N^{1/3}$, a characteristic feature of systems in the KPZ universality class.