Abstract
Horizontal-arrow fluctuations near the boundaries in the six-vertex model with domain-wall boundary conditions are considered. For these fluctuations, a representation in terms of the standard objects of the theory of orthogonal polynomials is obtained. This representation is used for the study of the large N limit. Bibliography: 18 titles.
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Bogolyubov, N.M., Zvonarev, M.B. & Kitaev, A.V. Fluctuations near the Boundaries in the Six-Vertex Model. Journal of Mathematical Sciences 115, 1960–1963 (2003). https://doi.org/10.1023/A:1022691527507
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DOI: https://doi.org/10.1023/A:1022691527507