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Replica bounds for diluted non-Poissonian spin systems | | Silvio Franz
; Michele Leone
; Fabio Lucio Toninelli
; | | Date: |
15 Jul 2003 | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech | | Affiliation: | International Centre for Theoretical Physics - Trieste - Italy), Michele Leone (Institute for Scientific Interchange - Torino - Italy), Fabio Lucio Toninelli (EURANDOM - Eindhoven - The Netherlands | | Abstract: | 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. | | Source: | arXiv, cond-mat/0307367 | | Services: | Forum | Review | PDF | Favorites | |
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