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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 136–142 (Mi znsl1310)  
This article is cited in 2 scientific papers (total in 2 papers)

Fluctuations near the boundaries in the six-vertex model

N. M. Bogolyubov, M. B. Zvonarev, A. V. Kitaev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (165 kB) Citations (2)
Abstract: 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.
Received: 20.10.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 1960–1963
DOI: https://doi.org/10.1023/A:1022691527507
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. M. Bogolyubov, M. B. Zvonarev, A. V. Kitaev, “Fluctuations near the boundaries in the six-vertex model”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 136–142; J. Math. Sci. (N. Y.), 115:1 (2003), 1960–1963
Citation in format AMSBIB
\Bibitem{BogZvoKit00}
\by N.~M.~Bogolyubov, M.~B.~Zvonarev, A.~V.~Kitaev
\paper Fluctuations near the boundaries in the six-vertex model
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 136--142
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1310}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805856}
\zmath{https://zbmath.org/?q=an:1092.82007}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 1960--1963
\crossref{https://doi.org/10.1023/A:1022691527507}
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  • https://www.mathnet.ru/eng/znsl/v269/p136
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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