Domino tilings of the Aztec diamond in random environmentOberseminar Stochastics

by Panagiotis Zografos (Leipzig University)

Thursday Dec 4, 2025, 4:30 PM → 5:30 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

It is well-known that under a certain choice of weights random domino tilings
of the Aztec diamond can be analyzed via Scur measures on partitions. In this
talk we will discuss the model in which the parameters of the Schur measure
(or, equivalently, some weights of dominoes) are random themselves. We
establish the limit shape and global fluctuations (quenched and annealed) via
the technique of Schur generating functions.