Periodic Gibbs Measures for the Potts-SOS Model on a Cayley Tree

We describe periodic Gibbs measures for the Potts-SOS model on a Cayley tree of order k ≥ 1, i.e. a characterization of such measures with respect to any normal subgroup of finite index of the group representation of the Cayley tree.

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Bibliographic Details
Published in:	Theoretical and mathematical physics Vol. 199; no. 1; pp. 586 - 592
Main Author:	Rasulova, M. A.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-04-2019 Springer Nature B.V
Subjects:	Applications of Mathematics Mathematical and Computational Physics Physics Physics and Astronomy Subgroups Theoretical Potts-SOS model configuration periodic Gibbs measure Cayley tree
Online Access:	Get full text
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Description
Summary:	We describe periodic Gibbs measures for the Potts-SOS model on a Cayley tree of order k ≥ 1, i.e. a characterization of such measures with respect to any normal subgroup of finite index of the group representation of the Cayley tree.
ISSN:	0040-5779 1573-9333
DOI:	10.1134/S0040577919040081