054 István Prause

054 István Prause
István Prause (University of Eastern Finland)// Probabilistic limit shapes and harmonic functions // Abstract Limit shapes are surfaces in R^3 which arise in the scaling limit of discrete random surfaces associated to various probability models such as domino tilings, random Young tableaux or the 5-vertex model. The limit surface is a minimiser of a gradient variational problem with a surface tension which encodes the local entropy of the model. I'll show that in an intrinsic complex variable these limit shapes can all be parametrised by harmonic functions across a variety of models. Some new features beyond determinantal settings will be discussed. The talk is based on joint works with Rick Kenyon.
Rod Halburd
56
10/5/2021
00:56:39
CAvid, Complex Analysis