Local geometry of the rough-smooth interface in the two-periodic Aztec diamond

13.04.2021 17:30 - 18:15

Sunil Chhita (Durham University)

Abstract: Random tilings of the two-periodic Aztec diamond contain three macroscopic regions: frozen, where the tilings are deterministic; rough, where the correlations between dominoes decay polynomially; smooth, where the correlations between dominoes decay exponentially. Previously, we found that a certain averaging of the height function at the rough smooth interface converged to the extended Airy kernel point process. In this talk, we discuss the local geometric picture give a conjecture for the local geometry at the rough-smooth interface. This is joint work with Kurt Johansson and Vincent Beffara.

M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli
Online via Zoom