A. Barhoumi

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asymptotic analysis 1 enumerative combinatorics 1 Eulerian maps 1 map enumeration 1 orthogonal polynomials 1 Painlevé equations 1

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math-ph2025

The $q^{Volume}$ lozenge tiling model via non-Hermitian orthogonal polynomials

Ahmad Barhoumi, Maurice Duits

We consider the $q^{Volume}$ lozenge tiling model on a large, finite hexagon. It is well-known that random lozenge tilings of the hexagon correspond to a two-dimensional deter…

The qVolume lozenge tiling model via non-Hermitian orthogonal polynomials

The $q^{Volume}$ lozenge tiling model via non-Hermitian orthogonal polynomials