054 István Prause
054 István Prause
István Prause (University of Eastern Finland)//
Probabilistic limit shapes and harmonic functions
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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 |