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 paycha@math.uni-potsdam.de for the login details.
submitted by Sylke Pfeiffer (sypfeiffer@math.uni-potsdam.de)