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Algebra i Analiz, 2009, Volume 21, Issue 3, Pages 58–78 (Mi aa1139)  
This article is cited in 13 scientific papers (total in 13 papers)

Research Papers

Five vertex model with fixed boundary conditions

N. M. Bogolyubov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (306 kB) Citations (13)
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Abstract: The exactly solvable five-vertex model on a square lattice with fixed boundary conditions is considered. Application of the algebraic Bethe ansatz makes it possible to express the partition function and the boundary correlation functions of the nonhomogeneous model in the determinantal form. The relationship established between the homogeneous model and plane partitions helps to calculate its partition function.
Received: 01.04.2008
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 3, Pages 407–421
DOI: https://doi.org/10.1090/S1061-0022-10-01100-3
Bibliographic databases:
Document Type: Article
MSC: 81T25
Language: Russian
Citation: N. M. Bogolyubov, “Five vertex model with fixed boundary conditions”, Algebra i Analiz, 21:3 (2009), 58–78; St. Petersburg Math. J., 21:3 (2010), 407–421
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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