ENTROPY, LIMIT-THEOREMS, AND VARIATIONAL-PRINCIPLES FOR DISORDERED LATTICE SYSTEMS

We study infinite volume limits and Gibbs states of disordered lattice systems with bounded and continuous potentials. Our main tools are a generalization of relative entropy for random reference measures and a large deviation theory for nonstationary independent processes. We fi nd that many familiar results of invariant potentials, such as large d eviation theorems, variational principles, and equivalence of ensemble s, continue to hold for disordered models, with suitably modified stat ements.