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math.PR2025
The Gamma-disordered Aztec diamond
Maurice Duits, Roger Van Peski
We introduce a multi-parameter family of random edge weights on the Aztec diamond graph, given by certain Gamma variables, and prove several results about the corresponding random…
math.PR2024
Lozenge Tilings of a Hexagon and q-Racah Ensembles
Maurice Duits, Erik Duse, Wenkui Liu
We study the limiting behavior of random lozenge tilings of the hexagon with a q-Racah weight as the size of the hexagon grows large. Based on the asymptotic behavior of the recurr…