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Domino tilings and the six-vertex model at its free-fermion point

Domino tilings and the six-vertex model at its free-fermion point

At the free-fermion point, the six-vertex model with domain wall boundary conditions (DWBC) can be related to the Aztec diamond, a domino tiling problem. We study the mapping on the level of complete statistics for general domains and boundary conditions. This is obtained by associating to both models a set …