Baxter, Rodney J. The bulk, surface and corner free energies of the anisotropic triangular Ising model. (English) Zbl 1439.82009 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2234, Article ID 20190713, 18 p. (2020). MSC: 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2234, Article ID 20190713, 18 p. (2020; Zbl 1439.82009) Full Text: DOI arXiv
Baxter, R. J. The bulk, surface and corner free energies of the square lattice Ising model. (English) Zbl 1357.82008 J. Phys. A, Math. Theor. 50, No. 1, Article ID 014001, 40 p. (2017). MSC: 82B20 82B23 16T25 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Phys. A, Math. Theor. 50, No. 1, Article ID 014001, 40 p. (2017; Zbl 1357.82008) Full Text: DOI arXiv
Baxter, R. J. Surface and corner free energies of the self-dual Potts model. arXiv:1606.01616 Preprint, arXiv:1606.01616 [math-ph] (2016). MSC: 82B20 BibTeX Cite \textit{R. J. Baxter}, ``Surface and corner free energies of the self-dual Potts model'', Preprint, arXiv:1606.01616 [math-ph] (2016) Full Text: arXiv OA License
Baxter, R. J. Some academic and personal reminiscences of Rodney James Baxter. (English) Zbl 1321.82006 J. Phys. A, Math. Theor. 48, No. 25, Article ID 254001, 25 p. (2015). MSC: 82B20 82B23 82-03 01A60 01A65 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Phys. A, Math. Theor. 48, No. 25, Article ID 254001, 25 p. (2015; Zbl 1321.82006) Full Text: DOI
Baxter, R. J. The \(\tau_{2}\) model and parafermions. (English) Zbl 1304.82011 J. Phys. A, Math. Theor. 47, No. 31, Article ID 315001, 12 p. (2014). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B20 15A30 16S50 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Phys. A, Math. Theor. 47, No. 31, Article ID 315001, 12 p. (2014; Zbl 1304.82011) Full Text: DOI arXiv
Baxter, R. J. Onsager and Kaufman’s calculation of the spontaneous magnetization of the Ising model. II. (English) Zbl 1257.82013 J. Stat. Phys. 149, No. 6, 1164-1167 (2012). MSC: 82B20 82D40 01A60 82-03 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 149, No. 6, 1164--1167 (2012; Zbl 1257.82013) Full Text: DOI arXiv
Baxter, R. J. Hard squares for \(z = -1\). (English) Zbl 1233.05021 Ann. Comb. 15, No. 2, 185-195 (2011). MSC: 05A15 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, Ann. Comb. 15, No. 2, 185--195 (2011; Zbl 1233.05021) Full Text: DOI arXiv
Baxter, R. J. Onsager and Kaufman’s calculation of the spontaneous magnetization of the Ising model. (English) Zbl 1252.82024 J. Stat. Phys. 145, No. 3, 518-548 (2011). MSC: 82B20 82D40 82-03 01A60 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 145, No. 3, 518--548 (2011; Zbl 1252.82024) Full Text: DOI arXiv
Baxter, R. J. Some comments on developments in exact solutions in statistical mechanics Since 1944. (English) Zbl 1456.82224 J. Stat. Mech. Theory Exp. 2010, No. 11, Paper No. P11037, 26 p. (2010). MSC: 82B23 82-03 01A60 01A61 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Mech. Theory Exp. 2010, No. 11, Paper No. P11037, 26 p. (2010; Zbl 1456.82224) Full Text: DOI arXiv
Baxter, R. J. Proof of the determinantal form of the spontaneous magnetization of the superintegrable chiral Potts model. (English) Zbl 1215.82006 ANZIAM J. 51, No. 3, 309-316 (2010). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, ANZIAM J. 51, No. 3, 309--316 (2010; Zbl 1215.82006) Full Text: DOI arXiv
Baxter, R. J. Spontaneous magnetization of the superintegrable chiral Potts model: calculation of the determinant \(D_{PQ}\). (English) Zbl 1194.82012 J. Phys. A, Math. Theor. 43, No. 14, Article ID 145002 (2010). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 37K10 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Phys. A, Math. Theor. 43, No. 14, Article ID 145002 (2010; Zbl 1194.82012) Full Text: DOI arXiv
Baxter, R. J. Some remarks on a generalization of the superintegrable chiral Potts model. (English) Zbl 1183.82009 J. Stat. Phys. 137, No. 5-6, 798-813 (2009). MSC: 82B20 82D40 82B35 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 137, No. 5--6, 798--813 (2009; Zbl 1183.82009) Full Text: DOI arXiv
Baxter, R. J. A conjecture for the superintegrable chiral Potts model. (English) Zbl 1151.82314 J. Stat. Phys. 132, No. 6, 983-1000 (2008). MSC: 82B20 82D40 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 132, No. 6, 983--1000 (2008; Zbl 1151.82314) Full Text: DOI arXiv
Baxter, R. J. Algebraic reduction of the Ising model. (English) Zbl 1151.82313 J. Stat. Phys. 132, No. 6, 959-982 (2008). MSC: 82B20 82D40 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 132, No. 6, 959--982 (2008; Zbl 1151.82313) Full Text: DOI arXiv
Baxter, Rodney J. Exactly solved models in statistical mechanics. Reprint of the 1989 ed. (English) Zbl 1201.60091 Mineola, N.Y: Dover Publications (ISBN 0-486-46271-4/pbk). xii, 498 p. (2007). MSC: 60K35 82-02 60-02 82B20 82B03 PDFBibTeX XMLCite \textit{R. J. Baxter}, Exactly solved models in statistical mechanics. Reprint of the 1989 ed. Mineola, N.Y: Dover Publications (2007; Zbl 1201.60091)
Baxter, R. J. Corner transfer matrices in statistical mechanics. (English) Zbl 1189.82020 J. Phys. A, Math. Theor. 40, No. 42, 12577-12588 (2007). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Phys. A, Math. Theor. 40, No. 42, 12577--12588 (2007; Zbl 1189.82020) Full Text: DOI arXiv
Baxter, R. J. Free energy of the three-state \(\tau_{2}(t_q)\) model as a product of elliptic functions. (English) Zbl 1149.82322 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2075, 3323-3341 (2006). MSC: 82B99 33E05 PDFBibTeX XMLCite \textit{R. J. Baxter}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2075, 3323--3341 (2006; Zbl 1149.82322) Full Text: DOI arXiv
Baxter, R. J. Hyperelliptic parametrisation of the generalized order parameter of the \(N=3\) chiral Potts model. (English) Zbl 1102.82004 ANZIAM J. 47, No. 3, 289-307 (2006). Reviewer: Iván Abonyi (Budapest) MSC: 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, ANZIAM J. 47, No. 3, 289--307 (2006; Zbl 1102.82004) Full Text: DOI arXiv
Baxter, R. J. The order parameter of the chiral Potts model. (English) Zbl 1142.82004 J. Stat. Phys. 120, No. 1-2, 1-36 (2005). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 120, No. 1--2, 1--36 (2005; Zbl 1142.82004) Full Text: DOI arXiv
Baxter, R. J. The six and eight-vertex models revisited. (English) Zbl 1142.82325 J. Stat. Phys. 116, No. 1-4, 43-66 (2004). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 116, No. 1--4, 43--66 (2004; Zbl 1142.82325) Full Text: DOI arXiv
Baxter, R. J. Transfer matrix functional relations for the generalized \(\tau_2(t_q)\) model. (English) Zbl 1206.82013 J. Stat. Phys. 117, No. 1-2, 1-25 (2004). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 117, No. 1--2, 1--25 (2004; Zbl 1206.82013) Full Text: DOI arXiv
Baxter, R. J. The Riemann surface of the chiral Potts model free energy function. (English) Zbl 1035.82008 J. Stat. Phys. 112, No. 1-2, 1-26 (2003). MSC: 82B20 82B23 14H55 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 112, No. 1--2, 1--26 (2003; Zbl 1035.82008) Full Text: DOI arXiv
Baxter, R. J. The “inversion relation” method for obtaining the free energy of the chiral Potts model. (English) Zbl 1038.82010 Physica A 322, No. 1-4, 407-431 (2003). MSC: 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, Physica A 322, No. 1--4, 407--431 (2003; Zbl 1038.82010) Full Text: DOI arXiv
Baxter, R. J. A rapidity-independent parameter in the star-triangle relation. (English) Zbl 1162.81383 Kashiwara, Masaki (ed.) et al., MathPhys odyssey 2001. Integrable models and beyond. In honor of Barry M. McCoy, dedicated to his 60th birthday. Boston: Birkhäuser (ISBN 0-8176-4260-9). Prog. Math. Phys. 23, 49-63 (2002). MSC: 81R12 82B44 PDFBibTeX XMLCite \textit{R. J. Baxter}, Prog. Math. Phys. 23, 49--63 (2002; Zbl 1162.81383) Full Text: arXiv
Baxter, R. J. Completeness of the Bethe ansatz for the six- and eight-vertex models. (English) Zbl 1067.82014 J. Stat. Phys. 108, No. 1-2, 1-48 (2002). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 108, No. 1--2, 1--48 (2002; Zbl 1067.82014) Full Text: DOI arXiv
Baxter, R. J. Dichromatic polynomials and Potts models summed over rooted maps. (English) Zbl 0983.05041 Ann. Comb. 5, No. 1, 17-36 (2001). MSC: 05C15 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, Ann. Comb. 5, No. 1, 17--36 (2001; Zbl 0983.05041) Full Text: DOI arXiv
Baxter, R. J. Equivalence of the two results for the free energy of the chiral Potts model. (English) Zbl 0991.82007 J. Stat. Phys. 98, No. 3-4, 513-535 (2000). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 98, No. 3--4, 513--535 (2000; Zbl 0991.82007) Full Text: DOI arXiv
Baxter, Rodney J.; Bazhanov, Vladimir V. Two-layer Zamolodchikov model. (English) Zbl 1253.82022 De Wit, David (ed.) et al., 12th international congress of mathematical physics (ICMP’97). Proceedings of the congress held in Brisbane, Australia, July 13–19, 1997. Cambridge, MA: International Press (ISBN 1-57146-055-1). 15-23 (1999). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter} and \textit{V. V. Bazhanov}, in: 12th international congress of mathematical physics (ICMP'97). Proceedings of the congress held in Brisbane, Australia, July 13--19, 1997. Cambridge, MA: International Press. 15--23 (1999; Zbl 1253.82022)
Baxter, R. J. Planar lattice gases with nearest-neighbor exclusion. (English) Zbl 0933.05029 Ann. Comb. 3, No. 2-4, 191-203 (1999). Reviewer: R.N.Mohan (Nuzvid) MSC: 05B20 82B20 82B80 PDFBibTeX XMLCite \textit{R. J. Baxter}, Ann. Comb. 3, No. 2--4, 191--203 (1999; Zbl 0933.05029) Full Text: DOI arXiv
Baxter, R. J. Some hyperelliptic function identities that occur in the chiral Potts model. (English) Zbl 0941.33003 J. Phys. A, Math. Gen. 31, No. 32, 6807-6818 (1998). Reviewer: J.Saurer (Regensburg) MSC: 33B99 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Phys. A, Math. Gen. 31, No. 32, 6807--6818 (1998; Zbl 0941.33003) Full Text: DOI
Baxter, R. J. Functional relations for the order parameters of the chiral Potts model. (English) Zbl 0922.60092 J. Stat. Phys. 91, No. 3-4, 499-524 (1998). MSC: 60K35 82B20 82B23 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 91, No. 3--4, 499--524 (1998; Zbl 0922.60092) Full Text: DOI
Baxter, R. J. Star-triangle and star-star relations in statistical mechanics. (English) Zbl 1229.82061 Int. J. Mod. Phys. B 11, No. 1-2, 27-37 (1997). MSC: 82B23 82-02 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, Int. J. Mod. Phys. B 11, No. 1--2, 27--37 (1997; Zbl 1229.82061) Full Text: DOI
Baake, Michael; Grimm, Uwe; Baxter, Rodney J. A critical Ising model on the labyrinth. (English) Zbl 1264.82017 Int. J. Mod. Phys. B 8, No. 25-26, 3579-3600 (1996). MSC: 82B20 82B23 82B27 PDFBibTeX XMLCite \textit{M. Baake} et al., Int. J. Mod. Phys. B 8, No. 25--26, 3579--3600 (1996; Zbl 1264.82017) Full Text: DOI
Baxter, R. J. Free energy of the chiral Potts model in the scaling region. (English) Zbl 1042.82531 J. Stat. Phys. 82, No. 5-6, 1219-1234 (1996). MSC: 82B23 82B20 82B26 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 82, No. 5--6, 1219--1234 (1996; Zbl 1042.82531) Full Text: DOI
O’Rourke, M. J.; Baxter, R. J. Interfacial tension of the chiral Potts model. (English) Zbl 1042.82526 J. Stat. Phys. 82, No. 1-2, 1-29 (1996). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{M. J. O'Rourke} and \textit{R. J. Baxter}, J. Stat. Phys. 82, No. 1--2, 1--29 (1996; Zbl 1042.82526) Full Text: DOI
Batchelor, M. T.; Baxter, R. J.; O’Rourke, M. J.; Yung, C. M. Exact solution and interfacial tension of the six-vertex model with anti- periodic boundary conditions. (English) Zbl 0827.60096 J. Phys. A, Math. Gen. 28, No. 10, 2759-2770 (1995). MSC: 60K40 82B23 PDFBibTeX XMLCite \textit{M. T. Batchelor} et al., J. Phys. A, Math. Gen. 28, No. 10, 2759--2770 (1995; Zbl 0827.60096) Full Text: DOI arXiv
Baxter, R. J. The Ising model and its descendants. (English) Zbl 1049.82506 Carey, Alan L. (ed.) et al., Confronting the infinite. Papers from the conference in celebration of the 70th years of H. S. Green and C. A. Hurst held at the University of Adelaide, Adelaide, Australia, February 14–17, 1994. Singapore: World Scientific (ISBN 981-02-2413-3). 157-166 (1995). MSC: 82B20 82-03 82B23 PDFBibTeX XMLCite \textit{R. J. Baxter}, in: Confronting the infinite. Papers from the conference in celebration of the 70th years of H. S. Green and C. A. Hurst held at the University of Adelaide, Adelaide, Australia, February 14--17, 1994. Singapore: World Scientific. 157--166 (1995; Zbl 1049.82506)
O’Rourke, M. J.; Baxter, R. J.; Bazhanov, V. V. Numerical results for the three-state critical Potts model on finite rectangular lattices. (English) Zbl 1080.82520 J. Stat. Phys. 78, No. 3-4, 665-680 (1995). MSC: 82B20 82-04 82B23 PDFBibTeX XMLCite \textit{M. J. O'Rourke} et al., J. Stat. Phys. 78, No. 3--4, 665--680 (1995; Zbl 1080.82520) Full Text: DOI
Baxter, R. J. Solvable models in statistical mechanics, from Onsager onward. (English) Zbl 1080.82527 J. Stat. Phys. 78, No. 1-2, 7-16 (1995). MSC: 82B23 82B20 82-02 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 78, No. 1--2, 7--16 (1995; Zbl 1080.82527) Full Text: DOI
Baxter, R. J. Zero-temperature skewed chiral Potts model. (English) Zbl 0841.60080 Rev. Math. Phys. 6, No. 5a, 869-885 (1994). MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, Rev. Math. Phys. 6, No. 5a, 869--885 (1994; Zbl 0841.60080) Full Text: DOI
Baxter, R. J. Interfacial tension of the chiral Potts model. (English) Zbl 0844.60099 J. Phys. A, Math. Gen. 27, No. 6, 1837-1849 (1994). MSC: 60K40 60K35 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Phys. A, Math. Gen. 27, No. 6, 1837--1849 (1994; Zbl 0844.60099) Full Text: DOI
Baake, M.; Grimm, U.; Baxter, R. J. A critical Ising model on the Labyrinth. (English) Zbl 0877.60058 Grimm, Uwe (ed.) et al., Perspectives on solvable models. Dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Singapore: World Scientific. 131-152 (1994). MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{M. Baake} et al., in: Perspectives on solvable models. Dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Singapore: World Scientific. 131--152 (1994; Zbl 0877.60058) Full Text: arXiv
Baxter, R. J. Elliptic parametrization of the three-state chiral Potts model. (English) Zbl 0859.60095 Bonora, L. (ed.) et al., Integrable quantum field theories. Proceedings of a NATO Advanced Research Workshop, Como, Italy, September 14-19, 1992. New York, NY: Plenum Press. NATO Advanced Study Institutes Series, Series B. 310, 27-37 (1993). MSC: 60K40 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, in: Integrable quantum field theories. Proceedings of a NATO Advanced Research Workshop, Como, Italy, September 14-19, 1992. New York, NY: Plenum Press. 27--37 (1993; Zbl 0859.60095)
Bazhanov, Vladimir V.; Baxter, Rodney J. A three-dimensional solvable model. (English) Zbl 0859.60094 Bonora, L. (ed.) et al., Integrable quantum field theories. Proceedings of a NATO Advanced Research Workshop, Como, Italy, September 14-19, 1992. New York, NY: Plenum Press. NATO Advanced Study Institutes Series, Series B. 310, 15-25 (1993). MSC: 60K40 82B44 PDFBibTeX XMLCite \textit{V. V. Bazhanov} and \textit{R. J. Baxter}, in: Integrable quantum field theories. Proceedings of a NATO Advanced Research Workshop, Como, Italy, September 14-19, 1992. New York, NY: Plenum Press. 15--25 (1993; Zbl 0859.60094)
Baxter, R. J. Chiral Potts model: Corner transfer matrices and parametrizations. (English) Zbl 0799.60098 Int. J. Mod. Phys. B 7, No. 20-21, 3489-3500 (1993). MSC: 60K40 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, Int. J. Mod. Phys. B 7, No. 20--21, 3489--3500 (1993; Zbl 0799.60098) Full Text: DOI
Baxter, R. J. Chiral Potts model with skewed boundary conditions. (English) Zbl 1102.82302 J. Stat. Phys. 73, No. 3-4, 461-495 (1993). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 73, No. 3--4, 461--495 (1993; Zbl 1102.82302) Full Text: DOI
Bazhanov, V. V.; Baxter, R. J. Partition function of a three-dimensional solvable model. (English) Zbl 0776.60124 Physica A 194, No. 1-4, 390-396 (1993). MSC: 60K40 82B20 PDFBibTeX XMLCite \textit{V. V. Bazhanov} and \textit{R. J. Baxter}, Physica A 194, No. 1--4, 390--396 (1993; Zbl 0776.60124) Full Text: DOI
Bazhanov, V. V.; Baxter, R. J. Star-triangle relation for a three-dimensional model. (English) Zbl 0876.17032 J. Stat. Phys. 71, No. 5-6, 839-864 (1993). MSC: 17B81 82B20 81R50 PDFBibTeX XMLCite \textit{V. V. Bazhanov} and \textit{R. J. Baxter}, J. Stat. Phys. 71, No. 5--6, 839--864 (1993; Zbl 0876.17032) Full Text: DOI
Bazhanov, V. V.; Baxter, R. J. Star-triangle relation for a three-dimensional model. (English) Zbl 0935.82509 J. Stat. Phys. 71, No. 5-6, 839-864 (1993). MSC: 82B20 82B23 81R50 60K35 PDFBibTeX XMLCite \textit{V. V. Bazhanov} and \textit{R. J. Baxter}, J. Stat. Phys. 71, No. 5--6, 839--864 (1993; Zbl 0935.82509) Full Text: DOI arXiv
Baxter, R. J. Corner transfer matrices of the chiral Potts model. II: The triangular lattice. (English) Zbl 0945.82518 J. Stat. Phys. 70, No. 3-4, 535-582 (1993). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 70, No. 3--4, 535--582 (1993; Zbl 0945.82518) Full Text: DOI
Baxter, R. J. On looking for solutions of the star-triangle relations. (English) Zbl 0789.60095 Curtright, Thomas (ed.) et al., Quantum field theory, statistical mechanics, quantum groups and topology. Proceedings of the NATO advanced research workshop, held at the University of Miami, FL, USA, 7-12 January, 1991. Singapore: World Scientific,. 11-16 (1992). Reviewer: R.J.Baxter (Canberra) MSC: 60K40 82B20 82B23 PDFBibTeX XMLCite \textit{R. J. Baxter}, in: Quantum field theory, statistical mechanics, quantum groups and topology. Proceedings of the NATO advanced research workshop, held at the University of Miami, FL, USA, 7--12 January, 1991. Singapore: World Scientific. 11--16 (1992; Zbl 0789.60095)
Bazhanov, V. V.; Baxter, R. J. New solvable lattice models in three dimensions. (English) Zbl 0876.17031 J. Stat. Phys. 69, No. 3-4, 453-485 (1992). MSC: 17B81 82B20 81R50 81Q80 60K35 81R05 83C47 PDFBibTeX XMLCite \textit{V. V. Bazhanov} and \textit{R. J. Baxter}, J. Stat. Phys. 69, No. 3--4, 453--485 (1992; Zbl 0876.17031) Full Text: DOI
Baxter, R. J. Hyperelliptic function parametrization for the chiral Potts model. (English) Zbl 0778.14015 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. II, 1305-1317 (1991). Reviewer: A.Bobenko (St.Peterburg) MSC: 14K25 82B23 33E05 PDFBibTeX XMLCite \textit{R. J. Baxter}, in: Proceedings of the international congress of mathematicians (ICM), August 21--29, 1990, Kyoto, Japan. Volume II. Tokyo etc.: Springer-Verlag. 1305--1317 (1991; Zbl 0778.14015)
Baxter, R. J.; Quispel, G. R. W. Hamiltonian limit of the \(3\)D Zamolodchikov model. (English) Zbl 1086.82521 J. Stat. Phys. 58, No. 3-4, 411-430 (1990). MSC: 82B23 82B27 PDFBibTeX XMLCite \textit{R. J. Baxter} and \textit{G. R. W. Quispel}, J. Stat. Phys. 58, No. 3--4, 411--430 (1990; Zbl 1086.82521) Full Text: DOI
Baxter, Rodney J. Exactly solved models in statistical mechanics. Paperback ed. (English) Zbl 0723.60120 London etc.: Academic Press. 504 p. £19.50 (1989). MSC: 60K35 82-02 60-02 82B20 82B03 PDFBibTeX XMLCite \textit{R. J. Baxter}, Exactly solved models in statistical mechanics. Paperback ed. London etc.: Academic Press (1989; Zbl 0723.60120)
Baxter, R. J. Solving models in statistical mechanics. (English) Zbl 0825.58051 Integrable systems in quantum field theory and statistical mechanics, Proc. Symp., Kyoto/Jap. and Kyuzeso/Jap. 1988, Adv. Stud. Pure Math. 19, 95-116 (1989). MSC: 58Z05 82B05 PDFBibTeX XMLCite \textit{R. J. Baxter}, Adv. Stud. Pure Math. None, 95--116 (1989; Zbl 0825.58051)
Baxter, R. J. Ramanujan’s identities in statistical mechanics. (English) Zbl 0654.10014 Ramanujan revisited, Proc. Conf., Urbana-Champaign/Illinois 1987, 69-84 (1988). Reviewer: M.Cheema MSC: 11P81 11F03 82B20 05A19 PDFBibTeX XML
Baxter, R. J.; Guttmann, A. J. Series expansion of the percolation probability for the directed square lattice. (English) Zbl 0653.60109 J. Phys. A 21, No. 15, 3193-3204 (1988). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{R. J. Baxter} and \textit{A. J. Guttmann}, J. Phys. A, Math. Gen. 21, No. 15, 3193--3204 (1988; Zbl 0653.60109) Full Text: DOI
Baxter, R. J. Free energy of the solvable chiral Potts model. (English) Zbl 1084.82530 J. Stat. Phys. 52, No. 3-4, 639-667 (1988). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 52, No. 3--4, 639--667 (1988; Zbl 1084.82530) Full Text: DOI
Owczarek, A. L.; Baxter, R. J. A class of interaction-round-a-face models and its equivalence with an ice-type model. (English) Zbl 0962.82507 J. Stat. Phys. 49, No. 5-6, 1093-1115 (1987). MSC: 82B20 60K35 PDFBibTeX XMLCite \textit{A. L. Owczarek} and \textit{R. J. Baxter}, J. Stat. Phys. 49, No. 5--6, 1093--1115 (1987; Zbl 0962.82507) Full Text: DOI
Andrews, G. E.; Baxter, R. J. Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients. (English) Zbl 0638.10009 J. Stat. Phys. 47, No. 3-4, 297-330 (1987). MSC: 82B05 82B10 82B20 05A19 05A30 11F11 PDFBibTeX XMLCite \textit{G. E. Andrews} and \textit{R. J. Baxter}, J. Stat. Phys. 47, No. 3--4, 297--330 (1987; Zbl 0638.10009) Full Text: DOI
Baxter, R. J. Chromatic polynomials of large triangular lattices. (English) Zbl 0625.05023 J. Phys. A 20, 5241-5261 (1987). MSC: 05C15 82B20 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Phys. A, Math. Gen. 20, 5241--5261 (1987; Zbl 0625.05023) Full Text: DOI
Andrews, George E.; Baxter, R. J. Lattice gas generalization of the hard hexagon model. II: The local densities as elliptic functions. (English) Zbl 0638.10008 J. Stat. Phys. 44, 713-728 (1986). MSC: 82B05 82B10 82B20 05A19 11F11 11P84 PDFBibTeX XMLCite \textit{G. E. Andrews} and \textit{R. J. Baxter}, J. Stat. Phys. 44, 713--728 (1986; Zbl 0638.10008) Full Text: DOI
Baxter, R. J.; Andrews, George E. Lattice gas generalization of the hard hexagon model. I: Star-triangle relation and local densities. (English) Zbl 0638.10007 J. Stat. Phys. 44, 249-271 (1986). MSC: 82B05 82B10 82B20 05A19 11P84 11F11 PDFBibTeX XMLCite \textit{R. J. Baxter} and \textit{G. E. Andrews}, J. Stat. Phys. 44, 249--271 (1986; Zbl 0638.10007) Full Text: DOI
Baxter, R. J. The Yang-Baxter equations and the Zamolodchikov model. (English) Zbl 0603.58051 Physica D 18, 321-347 (1986). MSC: 58J90 81T08 60K35 82B31 PDFBibTeX XMLCite \textit{R. J. Baxter}, Physica D 18, 321--347 (1986; Zbl 0603.58051) Full Text: DOI
Forrester, P. J.; Baxter, R. J. Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities. (English) Zbl 0625.10010 J. Stat. Phys. 38, 435-472 (1985). MSC: 11P84 82B20 11F03 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{R. J. Baxter}, J. Stat. Phys. 38, 435--472 (1985; Zbl 0625.10010) Full Text: DOI
Andrews, George E.; Baxter, R. J.; Forrester, P. J. Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. (English) Zbl 0589.60093 J. Stat. Phys. 35, 193-266 (1984). MSC: 82B23 60K35 05A15 05A17 33C45 11P84 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., J. Stat. Phys. 35, 193--266 (1984; Zbl 0589.60093) Full Text: DOI
Baxter, Rodney J. Exactly solved models in statistical mechanics. (English) Zbl 0538.60093 London - New York etc.: Academic Press. A Subsidiary of Harcourt Brace Jovanovich, Publishers. XII, 486 p. $ 81.00 (1982). Reviewer: V.Tigoiu MSC: 60K35 82B20 82B05 82-02 PDFBibTeX XML
Baxter, R. J. Rogers-Ramanujan identities in the hard hexagon model. (English) Zbl 0511.05004 J. Stat. Phys. 26, 427-452 (1981). MSC: 05A19 82B05 33D15 PDFBibTeX XMLCite \textit{R. J. Baxter}, J. Stat. Phys. 26, 427--452 (1981; Zbl 0511.05004) Full Text: DOI
Baxter, R. J.; Kelland, S. B.; Wu, F. Y. Equivalence of the Potts model or Whitney polynomial with an ice-type model. (English) Zbl 0321.05140 J. Phys. A 9, No. 3, 397-406 (1976). Reviewer: H. N. V. Temperley MSC: 05C99 05C15 82B20 05A15 PDFBibTeX XMLCite \textit{R. J. Baxter} et al., J. Phys. A, Math. Gen. 9, No. 3, 397--406 (1976; Zbl 0321.05140) Full Text: DOI
Baxter, Rodney Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model. (English) Zbl 1092.82513 Ann. Phys. 76, 25-47 (1973). MSC: 82B23 PDFBibTeX XMLCite \textit{R. Baxter}, Ann. Phys. 76, 25--47 (1973; Zbl 1092.82513) Full Text: DOI
Baxter, Rodney Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian. (English) Zbl 1092.82512 Ann. Phys. 76, 48-71 (1973). MSC: 82B23 PDFBibTeX XMLCite \textit{R. Baxter}, Ann. Phys. 76, 48--71 (1973; Zbl 1092.82512) Full Text: DOI
Baxter, Rodney Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors. (English) Zbl 1092.82511 Ann. Phys. 76, 1-24 (1973). MSC: 82B23 PDFBibTeX XMLCite \textit{R. Baxter}, Ann. Phys. 76, 1--24 (1973; Zbl 1092.82511) Full Text: DOI