Variétés algébriques en mécanique statistique
Maillard, J. M. ; Georges, A. ; Hansel, D. ; Le Doussal, P.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 38 (1987), p. 35-53 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1987-01-01
@article{RCP25_1987__38__35_0,
     author = {Maillard, J. M. and Georges, A. and Hansel, D. and Le Doussal, P.},
     title = {Vari\'et\'es alg\'ebriques en m\'ecanique statistique},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {38},
     year = {1987},
     pages = {35-53},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RCP25_1987__38__35_0}
}

Maillard, J. M.; Georges, A.; Hansel, D.; Le Doussal, P. Variétés algébriques en mécanique statistique. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 38 (1987) pp. 35-53. http://gdmltest.u-ga.fr/item/RCP25_1987__38__35_0/

1 - R. J. Baxter. Exactly solved models in statistical mechanics. Académie Press NY 1982 et Proceeding of the 1980 Enschede Summer School, Fundamental Problems in Statistical Mechanics, North Holland ; Amsterdam. | MR 690578 | Zbl 0723.60120

2 - I. V. Cherednik. Theor. Math. Phys. 43 (1980) 117, 356

H. C. Ottinger, J. Honerkamp, Phys. Lett. 88 A (1982) 339 | MR 649209

3 - A. B. Zamolodchikov, Comm. Math. Phys. 79 (1981) 489 | MR 623964

4 - R. J. Baxter, Comm. Math. Phys. 88 (1983) 185 | MR 696804

5 - C. Fan et F. Y. Wu, Phys. Rev. B 2 723 - 733 (1970)

6 - M. Jimbo et T. Miwa "Classification of solutions to the star triangle relation for a class 3 and 4 - state IRF models", NSF ITP 84 184 (1984) | MR 788097

7 - G. E. Andrews, R. J. Baxter, P. J. Forrester, J. Stat. Phys. 35, 193 (1984) | MR 748075 | Zbl 0589.60093

8 - M. T. Jaekel, J. M. Maillard, J. Phys. A 18, 1229 (1985) | MR 794073

9 - R. J. Baxter, Ann. Phys. 70 (1972) 193 | MR 290733 | Zbl 0236.60070

10 - Y. G. Stroganov, Phys. Lett; 74 A (1979) 116 | MR 591822

11 - J. M. Maillard, "The star-triangle relation and the inversion relation in statistical mechanics" ; Proceeding of the Brasov International Summer School 1983, Birkhauser edit. | MR 825251

12 - J. M. Maillard, "Automorphisms of Algebraic varieties and Yang-Baxter equations", soumis à J. M. P. | Zbl 0609.14028

13 - J. M. Maillard, T. Garel, J. Phys. A 17 (1984) | MR 755651

14 - P. Lochak, J. M. Maillard, Journ. Math. Phys. 27, 593 (1986) | MR 824412

15 - R. J. Baxter, J. Phys. A 13, L 61-70 (1980)

16 - A. Beauville, Surfaces algébriques complexes; Astérisque 54; Société Mathématique de France, 1984 et Séminaire Bourbaki n° 609 1982/83 | Zbl 0394.14014

17 - L. Szpiro, Séminaire Bourbaki n° 619 1983/84

18 - S. Beraha, J. Kahane, N. J. Weiss, J. Comb. Theory B 28, 52 - 65 (1980) | MR 565510 | Zbl 0433.05030

19 - A. A. Belavin, A. M. Polyakov et A. B. Zamolodchikov ; J. Stat. Phys. 36, 775 (1984) | MR 751712

20 - M.P.M. Den Nijs, J. Phys. A 12 1857-68 (1979)

21 - R. J. Baxter, Annal. Phys. 71, 1 (1973)

22 - M. T. Jaekel, J. M. Maillard, J. Phys. A 18 641 (1985) | MR 787533

23 - M. T. Jaekel, J. M. Maillard, J. Phys. A 18, 2271 (1985) | MR 804325

24 - M. T. Jaekel et J. M. Maillard, J. Phys. A 17 2079-2094 (1984) | MR 763798

a- R. Hartshorne "Algebraic geometry" Springer Verlag, New-York 1977 | MR 463157 | Zbl 0531.14001

b- J. Griffiths et J. Harri "Principles of Algebraic Geometry" John Whiley 1978 | Zbl 0408.14001

c- I. R. Shafarevich, "Basic Algebraic Geometry" Springer Verlag 1977 | MR 447223 | Zbl 0362.14001

d- M. Jimbo, "A q-analogue of U(al(N+1)),Hecke algebra and the Yano-Baxter équation. (1985) ; RIMS n° 5A (1985)