Replica bounds for diluted non-Poissonian spin systems

Abstract

In this paper we extend replica bounds and free energy subadditivity\narguments to diluted spin-glass models on graphs with arbitrary, non-Poissonian\ndegree distribution. The new difficulties specific of this case are overcome\nintroducing an interpolation procedure that stresses the relation between\ninterpolation methods and the cavity method. As a byproduct we obtain\nself-averaging identities that generalize the Ghirlanda-Guerra ones to the\nmulti-overlap case.\n