18–20 Nov 2025
Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve)
Europe/Brussels timezone

Invited lecture 4 : Domino tilings of the Aztec diamond in random environment

19 Nov 2025, 16:30
1h
CYCL01 (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

CYCL01

Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve)

Speaker

Panagiotis Zografos (University of Leipzig)

Description

It is well-known that under a certain choice of weights random domino tilings of the Aztec diamond can be analyzed via Schur 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.

Presentation materials