Fluctuations in a p-spin interaction model
Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 4, pp. 807-815.
@article{AIHPB_2005__41_4_807_0,
     author = {Kn\"opfel, Holger and L\"owe, Matthias},
     title = {Fluctuations in a $p$-spin interaction model},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {807--815},
     publisher = {Elsevier},
     volume = {41},
     number = {4},
     year = {2005},
     doi = {10.1016/j.anihpb.2004.05.006},
     zbl = {1070.60088},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpb.2004.05.006/}
}
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
SP  - 807
EP  - 815
VL  - 41
IS  - 4
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.anihpb.2004.05.006/
DO  - 10.1016/j.anihpb.2004.05.006
LA  - en
ID  - AIHPB_2005__41_4_807_0
ER  - 
%0 Journal Article
%A Knöpfel, Holger
%A Löwe, Matthias
%T Fluctuations in a $p$-spin interaction model
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2005
%P 807-815
%V 41
%N 4
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.anihpb.2004.05.006/
%R 10.1016/j.anihpb.2004.05.006
%G en
%F AIHPB_2005__41_4_807_0
Knöpfel, Holger; Löwe, Matthias. Fluctuations in a $p$-spin interaction model. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 4, pp. 807-815. doi : 10.1016/j.anihpb.2004.05.006. http://www.numdam.org/articles/10.1016/j.anihpb.2004.05.006/

[1] M. Aizenman, J.L. Lebowitz, D. Ruelle, Some rigorous results on the Sherrington-Kirkpatrick spin glass model, Comm. Math. Phys. 112 (1987) 3-20. | MR | Zbl

[2] G. Ben Arous, L. Bogachev, S. Molchanov, Limit laws for sums of random exponentials, preprint, 2003. | MR

[3] A. Bovier, Statistical Mechanics of Disordered Systems, MaPhySto Lecture Notes, vol. 10, Aarhus, 2001.

[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. | MR | Zbl

[5] F. Comets, A spherical bound for the Sherrington-Kirkpatrick model, Hommage à P.A. Meyer et J. Neveu, Astérisque 236 (1996) 103-108. | Numdam | MR | Zbl

[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. | MR | Zbl

[7] B. Derrida, Random energy model: limit of a family of disordered models, Phys. Rev. Lett. 45 (1980) 79-82. | MR

[8] P. Eichelsbacher, U. Schmock, Rank-dependent moderate deviations of U-empirical measures in strong topologies, Probab. Theory Related Fields 126 (2003) 61-90. | MR | Zbl

[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. | MR

[10] I. Kurkova, Fluctuations of the free energy and overlaps in the high temperature p-spin SK and Hopfield models, Preprint, 2003. | MR

[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. | MR | Zbl

[12] M. Talagrand, Rigorous low temperature results for mean field p-spin interaction models, Probab. Theory Related Fields 117 (2000) 303-360. | MR | Zbl

[13] M. Talagrand, The Sherrington-Kirkpatrick model: a challenge for mathematicians, Probab. Theory Related Fields 110 (1998) 109-176. | MR | Zbl

[14] M. Talagrand, Verres de Spin et optimisation combinatoire, Séminaire Bourbaki, Astérisque 266 (2000) 287-317. | Numdam | MR | Zbl

[15] M. Talagrand, Spin Glasses: A Challenge for Mathematicians, Springer, Berlin, 2003. | MR | Zbl

Cité par Sources :