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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