Classical lattice systems with random Hamiltonians are considered, whered is the dimension, and(x 1,x 2) are independent random variables for different pairs (x 1,x 2),E(x 1,x 2) = 0. It is shown that the free energy for such a system exiists with probability 1 and does not depend on the boundary conditions, provided > 1/2.
Key words Random interactions - random variables - long range - free energy - Hamiltonian - spin system - partial function.