Universality for Langevin spin glass dynamics

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Abstract:

The short-term empirical law of Langevin dynamics for the asymmetric Sherrington-Kirkpatrick (SK) model with soft spins was shown by Ben Arous and Guionnet (1995) to have an a.s. limit $\mu_\star$ as the system size grows, as predicted by Mezard, Parisi and Virasoro (1987). The SK model has since been shown to be universal, in that its ...More

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