Lee-Yang zeros of the antiferromagnetic Ising model

Abstract We investigate the location of zeros for partition function anti-ferromagnetic Ising model, focusing on lying unit circle. give a precise characterization class rooted Cayley trees, showing that are nowhere dense most interesting circular arcs. In contrast, we prove when considering all graphs with given degree bound, in sub-arc, implying trees this sense not extremal. The proofs rely describing rational dynamical systems arising ratios functions recursively defined trees.