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

## TL;DR

This paper proves the existence of at least one periodic Gibbs measure for the Potts-SOS model on a Cayley tree under certain conditions, contributing to understanding phase behavior in statistical physics models.

## Contribution

It establishes the existence of non translation-invariant Gibbs measures for the Potts-SOS model on Cayley trees, which was previously unconfirmed.

## Key findings

- Existence of periodic Gibbs measures proved
- Conditions for non translation-invariance identified
- Advances understanding of phase structures in the model

## 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.

---
Source: https://tomesphere.com/paper/1803.00768