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Zap. Nauchn. Sem. POMI, 2012, Volume 398, Pages 125–144 (Mi znsl5199)  

This article is cited in 1 scientific paper (total in 1 paper)

Weighted enumerations of boxed plane partitions and inhomogeneous five-vertex model

V. S. Kapitonova, A. G. Pronkob

a St. Petersburg State Technological Institute, St. Petersburg, Russia
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The five-vertex model on a square lattice with fixed boundary conditions, which corresponds to the weighted (with the weight $q$ per elementary cube) enumerations of boxed plane partition is considered. The one-point correlation function of the model describing the probability of a given state on an edge (polarization) is calculated. This generalises the similar result obtained previously by the authors for the unweighed (weighted with the weight $q=1$) enumerations of plane partitions.

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English version:
Journal of Mathematical Sciences (New York), 2013, 192:1, 70–80

Bibliographic databases:

UDC: 517.9
Received: 15.12.2011

Citation: V. S. Kapitonov, A. G. Pronko, “Weighted enumerations of boxed plane partitions and inhomogeneous five-vertex model”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 125–144; J. Math. Sci. (N. Y.), 192:1 (2013), 70–80

Citation in format AMSBIB
\Bibitem{KapPro12}
\by V.~S.~Kapitonov, A.~G.~Pronko
\paper Weighted enumerations of boxed plane partitions and inhomogeneous five-vertex model
\inbook Questions of quantum field theory and statistical physics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 398
\pages 125--144
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5199}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2944992}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 1
\pages 70--80
\crossref{https://doi.org/10.1007/s10958-013-1374-x}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84885019165}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. G. Pronko, “The five-vertex model and enumerations of plane partitions”, J. Math. Sci. (N. Y.), 213:5 (2016), 756–768  mathnet  crossref  mathscinet
  • Записки научных семинаров ПОМИ
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