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math-ph2017★ 2 cited
The Pfaffian Sign Theorem for the Dimer Model on a Triangular Lattice
Pavel Bleher, Brad Elwood, Dražen Petrović
We prove the Pfaffian Sign Theorem for the dimer model on a triangular lattice embedded in the torus. More specifically, we prove that the Pfaffian of the Kasteleyn periodic-period…
math-ph2017
Domain wall six-vertex model with half-turn symmetry
Pavel Bleher, Karl Liechty
We obtain asymptotic formulas for the partition function of the six-vertex model with domain wall boundary conditions and half-turn symmetry in each of the phase regions. The proof…