2002/03/27 by N. M. Bogoliubov, A. G. Pronko, M. B. Zvonarev · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.stat-mech #math.CO #math.MP #nlin.SI
paper · pdf · doi:10.1088/0305-4470/35/27/301
published as J. Phys. A: Math. Gen. 35, 5525-5541 (2002) · 20 pages, 2 figures, typos corrected
arxiv created 2002/03/27 · arxiv updated 2009/11/30
We consider the six-vertex model on an N × N square lattice with the domain wall boundary conditions. Boundary one-point correlation functions of the model are expressed as determinants of N× N matrices, generalizing the known result for the partition function. In the free fermion case the explicit answers are obtained. The introduced correlation functions are closely related to the problem of enumeration of alternating sign matrices and domino tilings.