The Two-Point Function and the Effective Magnetic Field in Diluted Ising Models on the Cayley Tree

TL;DR

This paper investigates the two-point correlation function and the analytic properties of the effective magnetic field in diluted ferromagnetic Ising models on Cayley trees, providing insights into their structural behavior.

Contribution

It introduces new analysis of the two-point function and the effective fugacity in diluted Ising models on Cayley trees, highlighting their analytic structure.

Findings

Characterization of the two-point function in diluted Ising models

Analysis of the effective fugacity's momentum structure

Insights into the analytic properties at the origin

Abstract

Some results on the two-point function and on the analytic structure of the momenta of the effective fugacity at the origin for a class of diluted ferromagnetic Ising models on the Cayley tree are presented.