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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 1, Pages 3–20
DOI: https://doi.org/10.4213/tmf6415 (Mi tmf6415) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Three-coloring statistical model with domain wall boundary conditions: Functional equations

A. V. Razumov, Yu. G. Stroganov

Institute for High Energy Physics, Protvino, Moscow Oblast, Russia
Full-text PDF (537 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf6415
Abstract: We consider the Baxter three-coloring model with boundary conditions of the domain wall type. In this case, it can be proved that the partition function satisfies some functional equations similar to the functional equations satisfied by the partition function of the six-vertex model for a special value of the crossing parameter.
Keywords: three-coloring model, partition function, functional equation.
Received: 08.12.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 1, Pages 1325–1339
DOI: https://doi.org/10.1007/s11232-009-0119-y
Bibliographic databases:
Language: Russian
Citation: A. V. Razumov, Yu. G. Stroganov, “Three-coloring statistical model with domain wall boundary conditions: Functional equations”, TMF, 161:1 (2009), 3–20; Theoret. and Math. Phys., 161:1 (2009), 1325–1339
Citation in format AMSBIB
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\crossref{https://doi.org/10.1007/s11232-009-0119-y}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:39
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