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On overlap concentration in the Curie-Weiss Random Field model

Li, Yutong et al.
arXiv (All) · Papers
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mathematical-physicsprobability
We show that the overlaps of two independent replicas drawn from the Gibbs measure of the Curie--Weiss model with random field (CWRF) exhibit sub-Gaussian tails when the inverse temperature $ β< 1$ and the random field is drawn from a Gaussian distribution that makes the expected magnetization of th
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