Universality in Sherrington–Kirkpatrick's spin glass model

Philippe Carmona; Yueyun Hu

Annales de l'I.H.P. Probabilités et statistiques (2006)

  • Volume: 42, Issue: 2, page 215-222
  • ISSN: 0246-0203

How to cite

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Carmona, Philippe, and Hu, Yueyun. "Universality in Sherrington–Kirkpatrick's spin glass model." Annales de l'I.H.P. Probabilités et statistiques 42.2 (2006): 215-222. <http://eudml.org/doc/77894>.

@article{Carmona2006,
author = {Carmona, Philippe, Hu, Yueyun},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {spin glass; limiting free energy; random environment; universality},
language = {eng},
number = {2},
pages = {215-222},
publisher = {Elsevier},
title = {Universality in Sherrington–Kirkpatrick's spin glass model},
url = {http://eudml.org/doc/77894},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Carmona, Philippe
AU - Hu, Yueyun
TI - Universality in Sherrington–Kirkpatrick's spin glass model
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2006
PB - Elsevier
VL - 42
IS - 2
SP - 215
EP - 222
LA - eng
KW - spin glass; limiting free energy; random environment; universality
UR - http://eudml.org/doc/77894
ER -

References

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  1. [1] F. Guerra, Broken replica symmetry bounds in the mean field spin glass model, Comm. Math. Phys.233 (1) (2003) 1-12. Zbl1013.82023MR1957729
  2. [2] F. Guerra, L.T. Toninelli, The thermodynamic limit in mean field spin glass models, Comm. Math. Phys.230 (1) (2002) 71-79. Zbl1004.82004MR1930572
  3. [3] L.A. Pastur, M.V. Shcherbina, Absence of self-averaging of the order parameter in the Sherrington–Kirkpatrick model, J. Statist. Phys.62 (1–2) (1991) 1-19. MR1105253
  4. [4] D. Sherrington, S. Kirkpatrick, Infinite-ranged model of spin-glasses, Phys. Rev. B17 (1978) 4384-4403. 
  5. [5] M. Talagrand, Gaussian averages, Bernoulli averages, and Gibbs' measures, Random Struct. Algorithms21 (3–4) (2002) 197-204. Zbl1014.60050MR1945366
  6. [6] M. Talagrand, The Parisi formula, Ann. of Math., in press. Zbl1137.82010

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