On the multiple overlap function of the SK model
Carvalho Bezerra, Sérgio de (Université de Nancy I. Institut Élie Cartan)
Tindel, Samy (Université de Nancy I. Institut Élie Cartan)

Data:	2007
Resum:	In this note, we prove an asymptotic expansion and a central limit theorem for the multiple overlap R1,. . . ,s of the SK model, defined for given N, s ≥ 1 by R1,. . . ,s = N−1 P i≤N σ 1 i . . . σs i. These results are obtained by a careful analysis of the terms appearing in the cavity derivation formula, as well as some graph induction procedures. Our method could hopefully be applied to other spin glasses models.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Publicat a:	Publicacions matemàtiques, V. 51 n. 1 (2007) p. 163-199, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/218486
DOI: 10.5565/PUBLMAT_51107_08

37 p, 316.2 KB

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