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This article is cited in 25 scientific papers (total in 25 papers)
Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree
M. M. Rakhmatullaev Namangant State University, Uzbekistan
Abstract:
For the Potts model with competing interactions, we describe the set of weakly periodic ground states corresponding to index-two normal divisors of the Cayley tree group representation. We also study some weakly periodic Gibbs measures.
Keywords:
Cayley tree, Gibbs measure, Potts model, weakly periodic ground state.
Received: 11.03.2013
Citation:
M. M. Rakhmatullaev, “Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree”, TMF, 176:3 (2013), 477–493; Theoret. and Math. Phys., 176:3 (2013), 1236–1251
Linking options:
https://www.mathnet.ru/eng/tmf8530https://doi.org/10.4213/tmf8530 https://www.mathnet.ru/eng/tmf/v176/i3/p477
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Abstract page: | 417 | Full-text PDF : | 154 | References: | 42 | First page: | 7 |
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