Large deviation principles and generalized Sherrington-Kirkpatrick models

Michel Talagrand

Annales de la Faculté des sciences de Toulouse : Mathématiques (2000)

  • Volume: 9, Issue: 2, page 203-244
  • ISSN: 0240-2963

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Talagrand, Michel. "Large deviation principles and generalized Sherrington-Kirkpatrick models." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.2 (2000): 203-244. <http://eudml.org/doc/73515>.

@article{Talagrand2000,
author = {Talagrand, Michel},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {2},
pages = {203-244},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Large deviation principles and generalized Sherrington-Kirkpatrick models},
url = {http://eudml.org/doc/73515},
volume = {9},
year = {2000},
}

TY - JOUR
AU - Talagrand, Michel
TI - Large deviation principles and generalized Sherrington-Kirkpatrick models
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2000
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 2
SP - 203
EP - 244
LA - eng
UR - http://eudml.org/doc/73515
ER -

References

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  1. [A-L-R] Aizenman ( M.), Lebowitz ( J.L.), Ruelle ( D.). — Some rigorous results on the Sherrington-Kirkpatrick model, Commun Math. Phys., 112 (1987), 3-20. Zbl1108.82312MR904135
  2. [C-N] Comets ( F.), Neveu ( J.). - Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: the high temperature case, Commun Math. Phys., 166 (1995), 549-564. Zbl0811.60098MR1312435
  3. [F-Z] Fröhlich ( J.), Zegarlinski ( B.). — Some comments on the Sherrington-Kirkpatrick model for spin glasses, Commun Math. Phys., 112 (1987), 553-556. MR910578
  4. [T1] Talagrand ( M.). - The Sherrington-Kirkpatrick model: a challenge to mathematicians, Prob. Th. Relat. Fields, 110 (1998), 109-176. Zbl0909.60083MR1609019
  5. [T2] Talagrand ( M.). - Exponential inequalities and replica-symmetry breaking for the Sherrington-Kirkpatrick model, Ann. Probab., to appear. Zbl1034.82027MR1797303
  6. [T3] Talagrand ( M.). — Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model, Manuscript, 1998. 
  7. [T4] Talagrand ( M.). — Huge random structures and mean field models for spin glasses, Proceeding of the international congress of Mathematicians, Berlin, 1998. Doc. Math., Extra Vol. I, 1998, 507-536. Zbl0902.60089MR1648045

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