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Gibbs states in the case of classical representation of quantum spin systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 429-430 Cet article a éte moissonné depuis la source Math-Net.Ru

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An existence theorem is proved for limiting Gibbs states (measures) in the sense of Dobrushin for the ensemble of loops corresponding to the quantum anisotropic antiferromagnetic Heisenberg model. 
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     title = {Gibbs states in the case of classical representation of quantum spin systems},
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I. L. Simyatitskii. Gibbs states in the case of classical representation of quantum spin systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 429-430. http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a14/

[1] R. L. Dobrushin, Teoriya veroyatn. i ee primen., 13 (1968), 201

[2] A. D. Venttsel, Kurs teorii sluchainykh protsessov, «Nauka», 1975 | MR

[3] J. Ginibre, Commun. Math. Phys., 10 (1968), 140 | DOI | MR

[4] H. Araki, K. Sewell, Commun. Math. Phys., 52 (1977), 103 | DOI | MR