A Riemann-Hilbert approach to the study of reduced random tiling models

by Felix Gideonse (UCLouvain)

Thursday Oct 9, 2025, 3:00 PM → 4:00 PM Europe/Brussels

B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

Random tiling models have seen intensive study in the past decade as they are simple to define, yet have rich combinatorial structure and remarkable macroscopic behavior. Our research is concerned with new, interesting limit shapes observed in these models after deforming the shape of the domain. I will overview the construction of two tiling models; domino tilings of the Aztec diamond, and lozenge tilings of the hexagon, and present key results for both of these models. Furthermore, I will present our results from joint work with Tom Claeys, and discuss our outlook for future asymptotic analysis using Riemann-Hilbert problems.