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Abstract: For a general spin glass model with asymmetric couplings we prove a family ofidentities involving expectations of generalized overlaps and magnetizations inthe quenched state. Those identities holds pointwise in the Nishimori line andare reached at the rate of the inverse volume while, in the general case, theycan be proved in integral average.



Author: Pierluigi Contucci, Cristian Giardina, Hidetoshi Nishimori

Source: https://arxiv.org/



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