Thermodynamic Limit for Finite Dimensional Classical and Quantum   Disordered Systems
  We provide a very simple proof for the existence of the thermodynamic limit for the quenched specific pressure for classical and quantum disordered systems on a $d$-dimensional lattice, including spin glasses. We develop a method which relies simply on Jensen's inequality and which works for any disorder distribution with the only condition (stability) that the quenched specific pressure is bounded. 
P. Contucci, C. Giardina', J. Pule'