Geodesic
The magnetization at high temperature for a $p$-spin interaction model with external field
David Márquez-Carreras 1
1 Facultat de Matemàtiques Universitat de Barcelona Gran Via 585, 08007 Barcelona, Spain
Applicationes Mathematicae, Tome 34 (2007) no. 1, pp. 97-111 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\langle \sigma_i \rangle$ (the mean of a spin with respect to the Gibbs measure) converges to an explicitly given random variable, and that $\langle \sigma_1 \rangle,\dots,\langle \sigma_n \rangle$ are asymptotically independent.
DOI : 10.4064/am34-1-8
Keywords: paper devoted detailed rigorous study magnetization high temperature p spin interaction model external field generalizing sherrington kirkpatrick model particular prove langle sigma rangle mean spin respect gibbs measure converges explicitly given random variable langle sigma rangle dots langle sigma rangle asymptotically independent

David Márquez-Carreras  1

1 Facultat de Matemàtiques Universitat de Barcelona Gran Via 585, 08007 Barcelona, Spain 
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David Márquez-Carreras. The magnetization at high temperature for
 a $p$-spin interaction model with external field. Applicationes Mathematicae, Tome 34 (2007) no. 1, pp. 97-111. doi: 10.4064/am34-1-8

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