Replica bounds for diluted non-Poissonian spin systems

Details Replica bounds for diluted non-Poissonian spin systems Replica bounds for diluted non-Poissonian spin systems

2003-07-15

arxiv.org/abs/cond-mat/0307367v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Latex file, 15 pages, 2 eps figures; Weak point revised and corrected; Misprints corrected

Scientific paper

10.1088/0305-4470/36/43/021

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

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