Extreme Gibbs measures for a Hard-Core-SOS model on Cayley trees
Extreme Gibbs measures for a Hard-Core-SOS model on Cayley trees
We investigate splitting Gibbs measures (SGMs) of a three-state (wand-graph) hardcore SOS model on Cayley trees of order $ k \geq 2 $. Recently, this model was studied for the hinge-graph with $ k = 2, 3 $, while the case $ k \geq 4 $ remains unresolved. It was …