Remarks on the limiting Gibbs states on a (d+1)-tree. (English) Zbl 0376.60096
MSC:
60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
82-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to statistical mechanics |
References:
[1] | Preston, C. J.5 Gibbs states on countable sets, Cambridge University Press 1974. |
[2] | Spitzer, F., Markov random fields on an infinite tree, Ann. Probability, 3 (1975), 387-398. · Zbl 0313.60072 · doi:10.1214/aop/1176996347 |
[3] | Katsura, S., Phase transitions of ferromagnetic Ising models, Suuri Kagaku No. 148, October, 1975. (in Japanese) |
[4] | Kamae, T., Private communication. |
[5] | Miyamoto, M., Martin-Dynkin boundaries of random fields, Comm. Math, Phys., 36, 1974. · Zbl 0364.60116 · doi:10.1007/BF01646203 |
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