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

Loading [MathJax]/jax/output/SVG/config.js

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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)

References:

PDF

HTML

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

\Bibitem{RazStr09}

\by A.~V.~Razumov, Yu.~G.~Stroganov

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

\jour TMF

\yr 2009

\vol 161

\issue 1

\pages 3--20

\mathnet{http://mi.mathnet.ru/tmf6415}

\crossref{https://doi.org/10.4213/tmf6415}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664880}

\zmath{https://zbmath.org/?q=an:1180.82195}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...161.1325R}

\transl

\jour Theoret. and Math. Phys.

\yr 2009

\vol 161

\issue 1

\pages 1325--1339

\crossref{https://doi.org/10.1007/s11232-009-0119-y}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000271645400001}

Linking options:

https://www.mathnet.ru/eng/tmf6415

https://doi.org/10.4213/tmf6415

https://www.mathnet.ru/eng/tmf/v161/i1/p3

This publication is cited in the following 10 articles:

Galleas W., “On the Elliptic Gl(2) Solid-on-Solid Model: Functional Relations and Determinants”, J. Math. Phys., 60:2 (2019), 023503
Behrend R.E. Fischer I. Konvalinka M., “Diagonally and Antidiagonally Symmetric Alternating Sign Matrices of Odd Order”, Adv. Math., 315 (2017), 324–365
Rosengren H., “Elliptic Pfaffians and solvable lattice models”, J. Stat. Mech.-Theory Exp., 2016, 083106
Galleas W., “Refined Functional Relations for the Elliptic Sos Model”, Nucl. Phys. B, 867:3 (2013), 855–871
Behrend R.E., “Multiply-Refined Enumeration of Alternating Sign Matrices”, Adv. Math., 245 (2013), 439–499
Galleas W., “Functional Relations and the Yang–Baxter Algebra”, Xxist International Conference on Integrable Systems and Quantum Symmetries (Isqs21), Journal of Physics Conference Series, 474, eds. Burdik C., Navratil O., Posta S., IOP Publishing Ltd, 2013
Galleas W., “Multiple integral representation for the trigonometric SOS model with domain wall boundaries”, Nuclear Phys B, 858:1 (2012), 117–141
Rosengren H., “The three-colour model with domain wall boundary conditions”, Adv in Appl Math, 46:1–4 (2011), 481–535
A. V. Razumov, Yu. G. Stroganov, “Three-coloring statistical model with domain wall boundary conditions: Trigonometric limit”, Theoret. and Math. Phys., 161:2 (2009), 1451–1459
J.-Ch. Aval, “The symmetry of the partition function of some square ice models”, Theoret. and Math. Phys., 161:3 (2009), 1582–1589

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

Statistics & downloads:
Abstract page:	467
Full-text PDF :	184
References:	41
First page:	8

Что такое QR-код?

Registration to the website

Logotypes