Joao C. A. Barata, Domingos H U Marchetti The Two-Point Function and the Effective Magnetic Field in Diluted Ising Models on the Cayley Tree (225K, PostScript) 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.