Leírás
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 complex analysis is very effective to analyse these, resulting in explicit representation of limit shapes via harmonic functions for determinantal as well as for some non-determinantal tiling models. The talk is based on joint work with Rick Kenyon.
https://zoom.us/j/97594629945?pwd=MmFNaVk4a1FhdjEvc2RRdGdod0FpZz09
Meeting ID: 975 9462 9945
Passcode: 767601