83 citations · 559 across the 24 of their papers we have counts for
24 papers
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…
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…
Scaling limit of domino tilings on a pentagonal domain
Filippo Colomo, Andrei G. Pronko
We consider the six-vertex model at its free-fermion point with domain wall boundary conditions, which is equivalent to random domino tilings of the Aztec diamond. We compute the s…
Evaluation of integrals for the emptiness formation probability in the square-ice model
Filippo Colomo, Andrei G. Pronko
We study the emptiness formation probability (EFP) in the six-vertex model with domain wall boundary conditions. We present a conjecture according to which at the ice point, i.e.,…
Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
Filippo Colomo, Giuseppe Di Giulio, Andrei G. Pronko
We consider the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions. To this aim, we formulate the model as a scalar produc…
Integral formulas and antisymmetrization relations for the six-vertex model
Luigi Cantini, Filippo Colomo, Andrei G. Pronko
We study the relationship between various integral formulas for nonlocal correlation functions of the six-vertex model with domain wall boundary conditions. Specifically, we show h…