Scaling limits in random tiling models

Abstract: Large random tiling in various regions, or dimer models on bipartite graphs, often show fascinating geometrical patterns. Different parts of the random tiling can have different types of patterns and you can see clear interfaces between them. Scaling limits close to these interfaces give rise to point processes that are related to random matrix theory.

I will give an overview of some aspects of this research area and discuss some of the scaling limits.

Mathematics

Audience: general audience

Heilbronn Annual Conference 2020