Pierluigi Contucci Replica Equivalence in the Edwards-Anderson Model (21K, latex) ABSTRACT. After introducing and discussing the link-overlap between spin configurations we show that the Edwards-Anderson model has a quenched state which fulfills, in the thermodynamic limit, the replica-equivalent ansatz introduced by Parisi in the description of the mean-field spin-glass phase. Our argument is based on the property of stochastic stability.