Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses

Details Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses

2004-03-19

arxiv.org/abs/cond-mat/0403506v2

Journal of Statistical Physics 117 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, corrected typos

Scientific paper

We introduce the concept of Random Multi-Overlap Structures in diluted spin glasses, following the ideas of Aizenman, Sims and Starr for non-diluted models. As a result, we prove the generalized bound and variational principle for the free energy per site, in analogy with the results of Aizenman, Sims and Starr for non-diluted models. We also prove some stability properties of the optimal RMOSt, analogous to the one found by Guerra for non-diluted models.

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