High temperature Sherrington-Kirkpatrick model for general spins

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dc.creatorCarmona, Philippe
dc.date2002-10-09
dc.date.accessioned2026-07-07T04:51:47Z
dc.date.available2026-07-07T04:51:47Z
dc.descriptionFrancesco Guerra and Fabio Toninelli have developped a very powerful technique to study the high temperature behaviour of the Sherrington-Kirkpatrick mean field spin glass model. They show that this model is asymptoticaly comparable to a linear model. The key ingredient is a clever interpolation technique between the two different Hamiltonians describing the models. This paper contribution to the subject are the following: (1) The replica-symmetric solution holds for general spins, not just $\pm 1$ valued. (2) The proof does not involve cavitation but only first order differential calculus and Gaussian integration by parts.
dc.identifierhttps://arxiv.org/abs/math/0210140
dc.identifierhttp://arxiv.org/abs/math/0210140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65232
dc.subjectProbability
dc.titleHigh temperature Sherrington-Kirkpatrick model for general spins
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