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This article is cited in 58 scientific papers (total in 58 papers)
Partition structures of the Cayley tree and applications for describing periodic Gibbs distributions
U. A. Rozikov Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Abstract:
The disposition order of partition elements into adjacent classes of the group representation of the Cayley tree on its finite index normal subgroups is described. For the inhomogeneous Ising model it is proved that there exist three $H_0$-periodic Gibbs distributions, where $H_0$ is a normal subgroup of finite index.
Received: 05.08.1996 Revised: 16.01.1997
Citation:
U. A. Rozikov, “Partition structures of the Cayley tree and applications for describing periodic Gibbs distributions”, TMF, 112:1 (1997), 170–175; Theoret. and Math. Phys., 112:1 (1997), 929–933
Linking options:
https://www.mathnet.ru/eng/tmf1037https://doi.org/10.4213/tmf1037 https://www.mathnet.ru/eng/tmf/v112/i1/p170
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Abstract page: | 460 | Full-text PDF : | 187 | References: | 57 | First page: | 1 |
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