Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees
| Autor: | Gandolfo, D., Rahmatullaev, M. M., Rozikov, U. A. |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider translation-invariant splitting Gibbs measures (TISGMs) for the $q$-state Potts model on a Cayley tree of order two. Recently a full description of the TISGMs was obtained, and it was shown in particular that at sufficiently low temperatures their number is $2^{q}-1$. In this paper for each TISGM $\mu$ we explicitly give the set of boundary conditions such that limiting Gibbs measures with respect to these boundary conditions coincide with $\mu$. Comment: 15 pages, 8 figures |
| Databáze: | arXiv |
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