Fluctuations in a p-spin interaction model

Holger Knöpfel; Matthias Löwe

Annales de l'I.H.P. Probabilités et statistiques (2005)

  • Volume: 41, Issue: 4, page 807-815
  • ISSN: 0246-0203

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Knöpfel, Holger, and Löwe, Matthias. "Fluctuations in a p-spin interaction model." Annales de l'I.H.P. Probabilités et statistiques 41.4 (2005): 807-815. <http://eudml.org/doc/77868>.

@article{Knöpfel2005,
author = {Knöpfel, Holger, Löwe, Matthias},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Spin glasses; Central Limit Theorem},
language = {eng},
number = {4},
pages = {807-815},
publisher = {Elsevier},
title = {Fluctuations in a p-spin interaction model},
url = {http://eudml.org/doc/77868},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Knöpfel, Holger
AU - Löwe, Matthias
TI - Fluctuations in a p-spin interaction model
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2005
PB - Elsevier
VL - 41
IS - 4
SP - 807
EP - 815
LA - eng
KW - Spin glasses; Central Limit Theorem
UR - http://eudml.org/doc/77868
ER -

References

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  2. [2] G. Ben Arous, L. Bogachev, S. Molchanov, Limit laws for sums of random exponentials, preprint, 2003. Zbl1073.60017MR2200504
  3. [3] A. Bovier, Statistical Mechanics of Disordered Systems, MaPhySto Lecture Notes, vol. 10, Aarhus, 2001. 
  4. [4] A. Bovier, I. Kurkova, M. Löwe, Fluctuations of the free energy in the REM and the p-spin SK-model, Ann. Prob.30 (2002) 605-651. Zbl1018.60094MR1905853
  5. [5] F. Comets, A spherical bound for the Sherrington–Kirkpatrick model, Hommage à P.A. Meyer et J. Neveu, Astérisque236 (1996) 103-108. Zbl0858.60094MR1417976
  6. [6] F. Comets, J. Neveu, The Sherrington–Kirkpatrick model of spin glasses and stochastic calculus: the high temperature case, Comm. Math. Phys.166 (1995) 549-564. Zbl0811.60098MR1312435
  7. [7] B. Derrida, Random energy model: limit of a family of disordered models, Phys. Rev. Lett.45 (1980) 79-82. MR575260
  8. [8] P. Eichelsbacher, U. Schmock, Rank-dependent moderate deviations of U-empirical measures in strong topologies, Probab. Theory Related Fields126 (2003) 61-90. Zbl1039.60023MR1981633
  9. [9] A. Galvez, S. Martinez, P. Picco, Fluctuations in Derrida's random energy and generalized random energy models, J. Stat. Phys.54 (1989) 515-529. MR984264
  10. [10] I. Kurkova, Fluctuations of the free energy and overlaps in the high temperature p-spin SK and Hopfield models, Preprint, 2003. Zbl1121.82023MR2133344
  11. [11] M. Mèzard, G. Parisi, M. Virasoro, Spin Glass Theory and Beyond, World Scientific Lecture Notes in Physics, vol. 9, World Scientific, Teaneck, NJ, 1987. Zbl0992.82500MR1026102
  12. [12] M. Talagrand, Rigorous low temperature results for mean field p-spin interaction models, Probab. Theory Related Fields117 (2000) 303-360. Zbl1016.82021MR1774067
  13. [13] M. Talagrand, The Sherrington–Kirkpatrick model: a challenge for mathematicians, Probab. Theory Related Fields110 (1998) 109-176. Zbl0909.60083MR1609019
  14. [14] M. Talagrand, Verres de Spin et optimisation combinatoire, Séminaire Bourbaki, Astérisque266 (2000) 287-317. Zbl1005.82014MR1772677
  15. [15] M. Talagrand, Spin Glasses: A Challenge for Mathematicians, Springer, Berlin, 2003. Zbl1033.82002MR1993891

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