This article is cited in 10 papers

Periodic Gibbs measures for the Potts–SOS model on a Cayley tree

M. A. Rasulova

Namangan State University, Uzbekistan

Abstract: We describe periodic Gibbs measures for the Potts–SOS model on a Cayley tree of order $k\ge1$, i.e. a characterization of such measures with respect to any normal subgroup of finite index of the group representation of the Cayley tree.

Keywords: Cayley tree, configuration, Potts–SOS model, periodic Gibbs measure.

Received: 05.05.2018
Revised: 05.05.2018

DOI: 10.4213/tmf9588

 English version: Theoretical and Mathematical Physics, 2019, 199:1, 586–592

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