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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 125–144 (Mi znsl5199)  
This article is cited in 7 scientific papers (total in 7 papers)

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
Full-text PDF (241 kB) Citations (7)
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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.
Received: 15.12.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 1, Pages 70–80
DOI: https://doi.org/10.1007/s10958-013-1374-x
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
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://mathscinet.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{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84885019165}
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  • https://www.mathnet.ru/eng/znsl/v398/p125
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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