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[For a general spin glass model with asymmetric couplings we prove a family of identities involving expectations of generalized overlaps and magnetizations in the quenched state. Those identities hold pointwise in the Nishimori line and are reached at the rate of the inverse volume while, in the general case, they can be proved in integral average.]
Published: Dec 14, 2009
Keywords: 82B44; Spin glasses; sum rules; Nishimori line
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