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Probability and Combinatorics

Tuesday, April 12, 2022 - 3:30pm

Amol Aggarwal

Columbia University


University of Pennsylvania

David Rittenhouse Lab 4C8

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.