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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/216549
The magnetization at high temperature for a p-spin interaction model with external field
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This paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a $p$-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that $\left\langle\sigma_i\right\rangle$ (the mean of a spin with respect to the Gibbs measure) converges to an explicitly given random variable, and that $\left\langle\sigma_1\right\rangle, \ldots,\left\langle\sigma_n\right\rangle$ are asymptotically independent.
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MÁRQUEZ, David (Márquez Carreras). The magnetization at high temperature for a p-spin interaction model with external field. 2007. vol. 34. Vol. 1, num. 97-111. ISSN 1233-7234. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/216549