Some Applications of the Lee-Yang Theorem
  For lattice systems of statistical mechanics satisfying a Lee-Yang property (i.e., for which the Lee-Yang circle theorem holds), we present a simple proof of analyticity of (connected) correlations as functions of an external magnetic field h, for Re h > 0 or Re h < 0. A survey of models known to have the Lee-Yang property is given. We conclude by describing various applications of the aforementioned analyticity in h. 
J\"urg Fr\"ohlich and Pierre-Fran\c{c}ois Rodriguez
math-ph math.MP