Sunil Chhita (Durham University)
Wednesday, April 21, 2021 - 15:00
Online Kolloquium
Karl-Liebknecht-Str. 24/25, 14469 Potsdam
A random tiling of a bounded domain consists of taking some lattice domain and tiling it with elementary blocks, picking each tiling at random with some prescribed probability measure. In this talk, we focus on a few important results for random tiling models that have been discovered since the 1990's, using domino tilings of the Aztec diamond as a guide. Along the way, we introduce the two-periodic Aztec diamond, which is one of the few mathematically tractable models containing three macroscopic regions: frozen, where the dominoes are deterministic; rough, where the correlations between dominoes decay polynomially; smooth, where the correlations between dominoes decay exponentially. We present some results on the behavior at the rough-smooth interface as well as discussing the local geometry at this interface. This talk is based on a series of joint works with Vincent Beffara, Kurt Johansson and Benjamin Young. If you wish to attend the talks, please contact Sylvie Paycha for the login details.
submitted by Sylke Pfeiffer (