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

2018/03/02 by Rahmatullaev, M. M., Rasulova, M. A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1803.00768

openalex publication_date 2018/03/02 · openalex created_date 2018/05/17 · openalex updated_date 2026/07/28

Abstract

In this paper for the Potts-SOS model on a Cayley tree under some conditions the existence of at least one periodic (non translation-invariant) Gibbs measure is proved.

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