Probability and Mathematical Physics Seminar

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A central limit theorem for square ice

Speaker: Wei Wu, NYU Shanghai

Location: Warren Weaver Hall 1302

Date: Friday, September 30, 2022, 11:10 a.m.

Synopsis:

An important open question is to show that the height function associated with the square ice model (i.e., planar six vertex model with uniform weights), or equivalently the uniform graph homeomorphisms, converges to a continuum Gaussian free field In the scaling limit, I will review some recent results about this model, including that the single point height function, upon renormalization, converges to a Gaussian random variable.