In this paper we consider a model on a Cayley tree which has a finite radius of interactions, the model was first considered by Rozikov. We describe a set of periodic ground states of the model.
Quantum Markov States on Cayley trees
Translation-invariant Gibbs measures for the fertile HC-models with three states on a Cayley tree
On Quantum Markov Chains on Cayley tree II: Phase transitions for the associated chain with XY-model on the Cayley tree of order three
![QR code for arXiv:0903.2985 [math-ph]](http://oss.arxitics.com/images/favicon.svg)