Domino Tilings of the Aztec Diamond in a Random Environment

by Alexey Bufetov (Leipzig)

Friday Jul 17, 2026, 4:00 PM → 6:00 PM Europe/Berlin

D5-153 (UHG)

Random domino tilings of large planar regions provide one of the classical examples of random geometric structures with striking macroscopic order emerging from microscopic randomness.

A particularly well-studied case is the Aztec diamond, whose uniformly random tilings exhibit the famous arctic circle phenomenon: “frozen” regions near the boundary coexist with a “liquid” region in the center.

In this talk, I will discuss a variant of this model in which some of the local weights of dominoes are themselves random. We establish the law of large numbers and the central limit theorem for the annealed height function describing the tiling.