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math-ph2025
GUE-corners process in two-periodic Aztec diamonds
Nicolas Robert, Philippe Ruelle
Links between uniform Aztec diamonds and random matrices are numerous in the literature. In particular, it has been established that, after appropriate rescaling, the probability d…
math-ph2023★ 1 cited
On -determinants and tiling problems
Jean-François de Kemmeter, Nicolas Robert, Philippe Ruelle
We review the connections between the octahedral recurrence, -determinants and tiling problems. This provides in particular a direct combinatorial interpretation of the -dete…