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math-ph2008★ 2 cited
Three-coloring statistical model with domain wall boundary conditions. II. Trigonometric limit
A. V. Razumov, Yu. G. Stroganov
A nontrivial trigonometric limit of the three-coloring statistical model with the domain wall boundary conditions is considered. In this limit the functional equations, constructed…
math-ph2006★ 18 cited
Bethe roots and refined enumeration of alternating-sign matrices
A. V. Razumov, Yu. G. Stroganov
The properties of the most probable ground state candidate for the XXZ spin chain with the anisotropy parameter equal to -1/2 and an odd number of sites is considered. Some linear…