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The generalized Parisi formula

✍ Scribed by Michel Talagrand

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 93 KB
Volume: 337
Category: Article
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(03)00268-1

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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