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Disorder transfer for the critical SK overlap law

Pei, Yan Ru
arXiv (OAI Expanded) · Papers
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disordered-systems-and-neural-networksprobability
We give a quantitative disorder comparison for the zero-field Sherrington--Kirkpatrick model at inverse temperature one. For any fixed number of replicas, replacing Gaussian couplings by independent couplings from a bounded symmetric variance-one law changes a bounded replica expectation by at most
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