THE UNIQUENESS REGIME OF GIBBS FIELDS WITH UNBOUNDED DISORDER

We consider lattice spin systems with short-range but random and unbou nded interactions. We give an elementary proof of uniqueness of Gibbs measures at high temperature or strong magnetic fields, and of the exp onential decay of the corresponding quenched correlation Functions. Th e analysis is based on the study of disagreement percolation (as initi ated by van den Berg and Maes).