Abstract

For a large class of Gaussian Hamiltonians, we use Guerra's interpolation scheme to show that at any temperature the free energy of the corresponding spin-glass system is asymptotically given by Parisi's formula. This class includes the Sherrington–Kirkpatrick model, the p-spin interaction model for even p, and many others. To cite this article: M. Talagrand, C. R. Acad. Sci. Paris, Ser. I 337 (2003).

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