Wednesday, April 30, 2025 - 09:00 in Zoom
Counting domino and lozenge tilings of reduced domains with Padé-type approximants
A talk in the Seminar Zufallsmatrizen series by
Tom Claeys
| Abstract: |
I will present a new method to characterize gap probabilities of discrete determinantal point processes in terms of Riemann-Hilbert problems. Simple examples of such discrete point processes arise in domino tilings of Aztec diamonds and lozenge tilings of hexagons. As a first illustration of our approach, we obtain a new explicit expression for the number of domino tilings of reduced Aztec diamonds in terms of Padé approximants, by solving the associated Riemann-Hilbert problem. As a second application, we obtain an explicit expression for the number of lozenge tilings of reduced hexagons in terms of Hermite-Padé approximants.
This is based on joint work with Christophe Charlier.
Within the CRC this talk is associated to the project(s): C6 |
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