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4 papers
On two-point boundary correlations in the six-vertex model with DWBC
F. Colomo, A. G. Pronko
The six-vertex model with domain wall boundary conditions (DWBC) on an N x N square lattice is considered. The two-point correlation function describing the probability of having t…
On the refined 3-enumeration of alternating sign matrices
F. Colomo, A. G. Pronko
An explicit expression for the numbers describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Strog…
On the partition function of the six-vertex model with domain wall boundary conditions
Filippo Colomo, Andrei Pronko
The six-vertex model on an square lattice with domain wall boundary conditions is considered. A Fredholm determinant representation for the partition function of the mo…
Area versus Length Distribution for Closed Random Walks
Filippo Colomo
Using a connection between the -oscillator algebra and the coefficients of the high temperature expansion of the frustrated Gaussian spin model, we derive an exact formula for t…