Partition structures of the cayley tree and applications for describing periodic gibbs distributions |
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Authors: | U. A. Rozikov |
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Affiliation: | (1) Institute for Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan Republic |
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Abstract: | In the group representation of the Cayley tree, the distribution of elements of the partition into conjugate classes of finite-index, normal subgroups is described. For the inhomogeneous Ising model, it is proved that there exist only three H0-periodic Gibbs distributions, where H0 is a normal subgroup of finite index. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 112, No. 1, pp. 170–175. |
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