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math-ph2025
The five-vertex model as a discrete log-gas
Filippo Colomo, Michelangelo Mannatzu, Andrei G. Pronko
We consider the five-vertex model on a rectangular domain of the square lattice, with the so-called `scalar-product' boundary conditions. We address the evaluation of the free-ener…
math.CO2025
Frozen-corner enumeration of Alternating Sign Matrices
Filippo Colomo, Andrei G. Pronko
An Alternating Sign Matrix (ASM) is a square matrix with entries in , and such that: in each row and columns, nonzero entries alternate in sign; for any give…