83 citations · 777 across the 40 of their papers we have counts for
39 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…
Symmetries of the periodic Fredkin chain
Andrei G. Pronko
The Fredkin chain is a spin- model with interaction of three nearest neighbors. In the case of periodic boundary conditions, the ground state is degenerate and can be describe…
Periodic Motzkin chain: Ground states and symmetries
Andrei G. Pronko
Motzkin chain is a model of nearest-neighbor interacting quantum spins with open boundary conditions. It is known that it has a unique ground state which can be viewed as a s…
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.,…