We consider spin glass models with non-centered interactions and investigate the effect, on the random free energies, of flipping the interaction in a subregion of the entire volume. A fluctuation bound obtained by martingale methods produces, with the help of integration by parts technique, a family of polynomial identities involving overlaps and magnetizations.
Interaction Flip Identities for non Centered Spin Glasses / P., Contucci; Giardina', Cristian; Giberti, Claudio. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 54:(2013), pp. 073301-1-073301-15. [10.1063/1.4813024]
Interaction Flip Identities for non Centered Spin Glasses
GIARDINA', Cristian;GIBERTI, Claudio
2013
Abstract
We consider spin glass models with non-centered interactions and investigate the effect, on the random free energies, of flipping the interaction in a subregion of the entire volume. A fluctuation bound obtained by martingale methods produces, with the help of integration by parts technique, a family of polynomial identities involving overlaps and magnetizations.
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