Geodesic
Magnetization in the ising model on hierarchical lattices
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 469-473 
V. P. Bovin; I. Ya. Shneiberg. Magnetization in the ising model on hierarchical lattices. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 469-473. http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a14/
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     title = {Magnetization in the ising model on hierarchical lattices},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {74},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a14/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A formula for the spontaneous magnetization on an hierarchical lattice is derived rigorously for two ways of switching on an external field.

[1] Berker A. N., Ostlund S., J. Phys. C: Solid State Phys., 12 (1979), 4961–4968 | DOI

[2] Kaufman M., Griffiths R. B., Phys. Rev. B: Condens. Matter., 24 (1981), 496–498 | DOI | MR

[3] Derrida B., De Sere L., Itzykson C., J. Stat. Phys., 33 (1983), 559–569 | DOI | MR

[4] Melrose J. R., J. Phys. A: Math. Gen., 16 (1983), 3077–3083 | DOI | MR

[5] Kaufman M., Griffiths R. B., Phys. Rev. B, 30 (1984), 244–249 | DOI | MR

[6] Kaufman M., Phys. Rev. B, 30 (1984), 413–414 | DOI | MR

[7] Kaufman M., Kardar M., Phys. Rev. B, 30 (1984), 1609–1611 | DOI | MR

[8] Derrida B., Itzykson C., Luck J. M., Commun. Math. Phys., 94 (1984), 115–132 | DOI | MR

[9] Derrida B., Dickinson H., Yeomans J., J. Phys. A: Math. Gen., 18 (1985), L53–L55 | DOI | MR

[10] Bovin V. P., Vaskin V. V., Shneiberg I. Ya., TMF, 54:2 (1983), 268–276 | MR

[11] Pelyukh G. P., Sharkovskii A. N., Vvedenie v teoriyu funktsionalnykh uravnenii, Naukova dumka, Kiev, 1974 | MR | Zbl