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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.CO2025
Groups with pairings, Hall modules, and Hall-Littlewood polynomials
Jiahe Shen, Roger Van Peski
We relate the combinatorics of Hall-Littlewood polynomials to that of abelian -groups with alternating or Hermitian perfect pairings. Our main result is an analogue of the class…