Geodesic
The Kac--Ward Determinant
Informatics and Automation, Solitons, geometry, and topology: on the crossroads, Tome 225 (1999), pp. 177-194.

Voir la notice de l'article provenant de la source Math-Net.Ru

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N. P. Dolbilin; Yu. M. Zinoviev; A. S. Mishchenko; M. A. Shtan'ko; M. I. Shtogrin. The Kac--Ward Determinant. Informatics and Automation, Solitons, geometry, and topology: on the crossroads, Tome 225 (1999), pp. 177-194. http://geodesic.mathdoc.fr/item/TRSPY_1999_225_a11/

[1] Whitney H., “On regular closed curves in the plane”, Compos. Math., 4 (1937), 276–284 | MR

[2] Van der Warden B. L., “Lange Reichweite der regelmassigen Atomanordnung in Mischkristallen”, Ztschr. Phys., 118 (1941), 473–488 | DOI

[3] Onsager L., “Crystal statistic. I: A two-dimensional model with an order-disorder transition”, Phys. Rev., 65 (1944), 117–149 | DOI | MR | Zbl

[4] Kaufman B., “Crystal statistic. II: Partition function evaluated by spinor analysis”, Phys. Rev., 76 (1949), 1232–1243 | DOI | Zbl

[5] Kaufman B., Onsager L., “Crystal statistic. III: Short-range order in a binary Ising lattice”, Phys. Rev., 76 (1949), 1244–1252 | DOI | Zbl

[6] Kac M., Ward J. C., “A combinatorial solution of the two-dimensional Ising model”, Phys. Rev., 88 (1952), 1332–1337 | DOI | Zbl

[7] Sherman S., “Combinatorial aspects of the Ising model for ferromagnetism. I: A conjecture of Feynman on paths and graphs”, J. Math. Phys., 1:3 (1960), 202–217 | DOI | MR

[8] Burgoyne P. N., “Remarks on the combinatorial approach to the Ising problem”, J. Math. Phys., 4:10 (1963), 1320–1326 | DOI | MR | Zbl

[9] Sherman S., “Addendum: Combinatorial aspects of the Ising model for ferromagnetism”, J. Math. Phys., 4:9 (1963), 1212–1214 | DOI | MR

[10] Vdovichenko N. V., “Vychislenie statisticheskoi summy ploskoi dipolnoi reshetki”, ZhETF, 47:8 (1964), 715–719 | MR

[11] Landau L. D., Lifshits E. M., Statisticheskaya fizika, Nauka, M., 1976. | MR

[12] Dolbilin N. P., Shtanko M. A., Shtogrin M. I., “Kombinatornye voprosy dvumernoi modeli Izinga”, Tr. MIAN, 196, 1991, 51–65 | MR