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

Luca De Sanctis
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Abstract

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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Luca De Sanctis. 2004-05-18. Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses. https://arxiv.org/abs/cond-mat/0403506

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