Periodic and Weakly Periodic Ground States for the $\lambda$-Model on Cayley Tree

TL;DR

This paper investigates the ground states of the $$-model on a Cayley tree of order two, focusing on periodic and weakly periodic configurations, to understand their structure and properties.

Contribution

It provides a detailed description of periodic and weakly periodic ground states for the $$-model on the Cayley tree, a novel analysis in this context.

Findings

Identification of periodic ground states

Characterization of weakly periodic ground states

Insights into the structure of ground states on Cayley trees

Abstract

In this paper we consider the $\lambda$-model on the Cayley tree of order two. We describe periodic and weakly periodic ground states for the considered model.