Geodesic
Fluctuations near the boundaries in the six-vertex model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 136-142

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Horizontal-arrow fluctuations near the boundaries in the six-vertex model with domain wall boundary conditions is considered. A representation via standart objects of the theory of orthogonal polynomials is obtained. This representation is used to study large $N$ limit. 
@article{ZNSL_2000_269_a9,
     author = {N. M. Bogolyubov and M. B. Zvonarev and A. V. Kitaev},
     title = {Fluctuations near the boundaries in the six-vertex model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {136--142},
     publisher = {mathdoc},
     volume = {269},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a9/}
}
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N. M. Bogolyubov; M. B. Zvonarev; A. V. Kitaev. Fluctuations near the boundaries in the six-vertex model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 136-142. http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a9/