Local Order at Arbitrary Distances in Finite-Dimensional Spin-Glass   Models
  For a finite dimensional spin-glass model we prove local order at low temperatures for both local observables and for products of observables at arbitrary mutual distance. When the Hamiltonian includes the Edwards-Anderson interaction we prove "bond" local order, when it includes the random-field interaction we prove "site" local order. 
Pierluigi Contucci, Francesco Unguendoli