MIT Probability Seminar

Featured Speaker :  Amol Aggarwal (Harvard Univeristy)

Title :  Pure States in the Ferroelectric Six-Vertex Model

Abstract : 

The classification and analysis of pure states (translation-invariant, ergodic Gibbs measures) for statistical mechanical systems is a fundamental question in mathematical physics. In this talk we investigate this question for the six-vertex model in its ferroelectric phase. We will see that the situation here differs considerably from its more well-known counterpart for dimer models. In particular, for the ferroelectric six-vertex model there now exist non-trivial regions of non-existence and new families of highly anisotropic pure states exhibiting Kardar-Parisi-Zhang (KPZ) fluctuations.