Geodesic
Uniqueness and half-space nonuniqueness of gibbs states in Czech models
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 430-444 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of a new class of interactions for which there is uniqueness of a Gibbs state in a whole space together with nonunlqueness of the state in a half-space. The method of reflection positivity is used to study these interactions. 
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     title = {Uniqueness and half-space nonuniqueness of gibbs states in {Czech} models},
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}
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S. B. Shlosman. Uniqueness and half-space nonuniqueness of gibbs states in Czech models. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 430-444. http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a9/

[1] Dobrushin R. L., Shlosman S. B., “Constructive criterion for the uniqueness of Gibbs field”, Statistical mechanics and dynamical systems, Birkhouser, N.-Y., 1985 | MR

[2] Dobrushin R. L., Shlosman S. B., “Completely analytical Gibbs fields”, Statistical mechanics and dynamical systems, Birkhouser, N.-Y., 1985 | MR

[3] Dobrushin R. L., Pechersky E. A., Random fields, v. 1, North-Holland, 1981, 223–262 | MR

[4] Preston Ch. J., Random fields, Lect. notes in math., 534, 1976 | DOI | MR | Zbl

[5] Dobrushin R. L., Funkts. analiz i ego prilozh., 2:4 (1968), 31–43 | MR | Zbl

[6] Glimm J., Jaffe A., Spencer T., Commun. Math. Phys., 45:2 (1975), 203–234 | DOI | MR

[7] Frohlich J., Lieb E., Commun. Math. Phys., 60:2 (1978), 233–267 | DOI | MR

[8] Frohlich J., Israel R., Lieb E., Simon B., Commun. Math. Phys., 62:1 (1978), 1–34 | DOI | MR

[9] Frohlich J., Israel R., Lieb E., Simon B. J., Stat. Phys., 22:2 (1980), 297–340 | DOI | MR

[10] Dobrushin R. L., Shlosman S. B., Sel. math. sov., 1:4 (1981), 317–338 | MR

[11] Sinai Ya. G., Teoriya fazovykh perekhodov, Nauka, M., 1980 | MR

[12] Dobrushin R. L., Shlosman S. B., Problema ustoichivosti osnovnykh sostoyanii, Preprint, IPPI AN SSSR, M., 1984

[13] Malyshev V. A., “Vozmuschenie gibbsovskikh sluchainykh polei”, Mnogokomponentnye sluchainye sistemy, Nauka, M., 1978 | MR | Zbl

[14] Malyshev V. A., Minlos R. A., Petrova E. A., Terletskii Yu. A., “Obobschennye konturnye modeli”, Itogi nauki, Teoriya veroyatnosti, matematicheskaya statistika, 19, VINITI, M., 1982 | MR

[15] Shlosman S. B., Pecherskii E. A., Tezisy dokladov VI Mezhdun. simp. po teorii informatsii, ch. 3 (Tashkent, 1984), Fan, Tashkent, 1984, 270–272

[16] Kotecky R., Shlosman S. B., Commun. Math. Phys., 83:3 (1982), 493–515 | DOI | MR