Stochastic Stability and the Spin Glass Phase. The State of the Art for   Mean Field and Finite Dimensional Models
  Some invariances under perturbations of the spin glass phase are introduced, their proofs outlined and their consequences illustrated as factorisation rules for the overlap distribution. A comparison between the state of the art for mean field and finite dimensional models is shortly discussed. 
Pierluigi Contucci
math-ph cond-mat.dis-nn math.MP