Márquez, David (Márquez Carreras)2024-11-182024-11-1820071233-7234https://hdl.handle.net/2445/216549This 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.16 p.application/pdfengcc-by (c) Márquez-Carreras, D., 2007http://creativecommons.org/licenses/by/4.0/Mecànica estadísticaProcessos gaussiansCamps aleatorisStatistical mechanicsGaussian processesRandom fieldsinfo:eu-repo/semantics/article5499522024-11-18info:eu-repo/semantics/openAccess