On the multiple overlap function of the SK model.

Bezerra, Sergio de Carvalho, and Tindel, Samy. "On the multiple overlap function of the SK model. ." Publicacions Matemàtiques 51.1 (2007): 163-199. <http://eudml.org/doc/41891>.

@article{Bezerra2007,
abstract = {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-1Σi≤N σ1i ... σsi. 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.},
author = {Bezerra, Sergio de Carvalho, Tindel, Samy},
journal = {Publicacions Matemàtiques},
keywords = {Proceso de Gauss; Espín; Desarrollo en serie de funciones; Teorema central del límite; Sherrington-Kirkpatrick (SK) model},
language = {eng},
number = {1},
pages = {163-199},
title = {On the multiple overlap function of the SK model. },
url = {http://eudml.org/doc/41891},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Bezerra, Sergio de Carvalho
AU - Tindel, Samy
TI - On the multiple overlap function of the SK model.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - 1
SP - 163
EP - 199
AB - 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-1Σi≤N σ1i ... σsi. 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.
LA - eng
KW - Proceso de Gauss; Espín; Desarrollo en serie de funciones; Teorema central del límite; Sherrington-Kirkpatrick (SK) model
UR - http://eudml.org/doc/41891
ER -