@incollection{SB_1998-1999__41__287_0,
author = {Talagrand, Michel},
title = {Verres de {Spin} et optimisation combinatoire},
booktitle = {S\'eminaire Bourbaki : volume 1998/99, expos\'es 850-864},
series = {Ast\'erisque},
note = {talk:859},
pages = {287--317},
year = {2000},
publisher = {Soci\'et\'e math\'ematique de France},
number = {266},
mrnumber = {1772677},
zbl = {1005.82014},
language = {fr},
url = {https://www.numdam.org/item/SB_1998-1999__41__287_0/}
}
TY - CHAP AU - Talagrand, Michel TI - Verres de Spin et optimisation combinatoire BT - Séminaire Bourbaki : volume 1998/99, exposés 850-864 AU - Collectif T3 - Astérisque N1 - talk:859 PY - 2000 SP - 287 EP - 317 IS - 266 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1998-1999__41__287_0/ LA - fr ID - SB_1998-1999__41__287_0 ER -
%0 Book Section %A Talagrand, Michel %T Verres de Spin et optimisation combinatoire %B Séminaire Bourbaki : volume 1998/99, exposés 850-864 %A Collectif %S Astérisque %Z talk:859 %D 2000 %P 287-317 %N 266 %I Société mathématique de France %U https://www.numdam.org/item/SB_1998-1999__41__287_0/ %G fr %F SB_1998-1999__41__287_0
Talagrand, Michel. Verres de Spin et optimisation combinatoire, dans Séminaire Bourbaki : volume 1998/99, exposés 850-864, Astérisque, no. 266 (2000), Exposé no. 859, 31 p.. https://www.numdam.org/item/SB_1998-1999__41__287_0/
[A-L-R] , , - Some rigorous results on the Sherrington-Kirkpatrick model, Commun Math. Phys. 112 (1987), 3-20. | Zbl | MR
[A-G-S] , , - Statistical Mechanics of Neural Networks near Saturation, Annals of Physics 173 (1987), 30-67.
[BA-G] , - Langevin spin glass dynamic, A. Bovier et P. Picco editors, Progress in Probability, vol. 41, Birkhäuser, Boston (1998). | MR
[B-S] , - On Ruelle's probability casades and an astract cavity method, Comm. Math. Phys. 197 (1997), 247-276. | Zbl | MR
[B-G] , - Hopfield models as generalized random mean field models, Mathematical aspects of spin glasses and neural networks, A. Bovier and P. Picco editors, Progress in Probability, vol 41, Birkhäuser, Boston (1997). | Zbl | MR
[B-G-P] , , - Gibbs states of the Hopfield model with extensively many patterns, J. Stat. Phys. 79 (1995), 395-414. | Zbl | MR
[B-P] , (editors), - Mathematical aspects of Spin Glasses and Neural Networks, Progress in Probability, vol. 41, Birkhäuser, Boston (1997). | Zbl | MR
[C] - A spherical bound for the Sherrington-Kirkpatrick model, in "Hommage à P.-A. Meyer et J. Neveu", Astérisque 236 (1996), 103-108. | Zbl | MR | Numdam
[C-N] , - Sherrington-Kirkpatrick model of spin glasses and stochastic calculus : the high temperature case, Commun Math. Phys. 166 (1995), 549-564. | Zbl | MR
[D] - Random energy model : An exactly solvable model of disordered systems, Phy. Rev. B, 24 # 5 (1981), 2613-2626. | MR
[D-G] , - Optimal storage properties of Neural Network models, J. Phy. A. 21 (1988), 271-284. | MR
[F-Z1] , - The high-temperature phase of long-range spin glasses, Comm. Math. Phys. 110 (1987), 121-155. | MR
[F-Z2] , - Some comments on the Sherrington-Kirkpatrick model of spin glasses, Comm. Math. Phy. 112 (1987), 553-566. | MR
[F] - Régularité des trajectoires des fonctions aléatoires gaussiennes, École d'été des Probabilités de Saint-Flour IV, Lecture Notes in Math., 480 (1975), 1-96, Springer-Verlag. | Zbl | MR
[G1] - Spin glasses with -spin interactions, Nuclear Phys. B 257, # 6 (1985), 747-765. | MR
[G2] - The space of interactions in neural network models, J. Phys. A. 21 (1988), 257-270. | Zbl | MR
[G] - Averaged and quenched propagation of chaos for spin glass dynamics, Probab. Theor. relat. fields 109 (1997), 183-215. | Zbl | MR
[H] - Neural networks and physical systems with emergent collective computational abilities, Proc. Natl. Acad. Sci. USA 79 (1982), 1554-2558. | MR
[H-K-P] , , - Introduction to the theory of Neural computation, Addison Wesley (1991).
[K-T-J] , , - Spherical model of a Spin-Glass, Phys. Rev. letters 36 (1976), 1217-1220.
[Lou] - Lower bounds on the restitution error of the Hopfield model, Probab. Th. Relat. Fields 107 (1997), 161-176. | Zbl | MR
[M] - The space of interactions in neural networks : Gardner's computation with the cavity method, J. Phys. A. 22 (1988), 2281-2190. | MR
[M-P-V] , , - Spin glass theory and beyond, World Scientific, Singapore (1987). | Zbl | MR
[M-Z] , - Statistical Mechanics of the Random -Sat Model, Phys. Rev. E (1997), 1357-1370. | MR
[N] - Memory capacity in neural network models : Rigorous lower bounds, Neural Networks, I (1988), 223-238.
[N-S] , - Thermodynamic chaos and the structure of short-range spin glasses, Mathematical aspects of Spin Glass and Neural networks, A. Bovier and P. Picco editors, Progress in Probability, vol. 41, Birkhäuser, Boston (1998), 243-287. | Zbl | MR
[P-S] , - Absence of Self-Averaging of the order parameter in the Sherrington-Kirkpatrick model, J. Stat. Phys. 62 (1991), 1-19. | MR
[P-Y] , - The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator, Ann. Probab. 25 (1997), 855-900. | Zbl | MR
[R] - A mathematical reformulation of Derrida's REM and GREM, Comm. Math. Phys. 108 (1987), 225-239. | Zbl | MR
[Sh1] -More about absence of self averaging of the order parameter in the Sherrington-Kirkpatrick model, CARR Reports in Mathematical Physics, n° 3/91, Department of Mathematics, University of Rome "la Sapienza", (1991).
[Sh2] - On the Replica-Symmetric Solution for the Sherrington-Kirkpatrick Model, Helv. Phys. Acta 70 (1997), 838-853. | Zbl | MR
[S-K] , - Solvable model of a spin glass, Phys. Rev. Lett. 35 (1972), 1792-1796.
[T1] - Regularity of Gaussian processes, Acta Math. 159 (1987), 99-149. | Zbl | MR
[T2] - Concentration of measure and isoperimetric inequalities in product spaces, Publ. Math. I.H.E.S. 81 (1995), 73-205. | Zbl | MR | Numdam
[T3] - The Sherrington-Kirkpatrick model: A challenge for mathematicians, Probab. Theor. Relat. Fields 110 (1998), 109-176. | Zbl | MR
[T4] - Rigorous results for the Hopfield model with many patterns, Probab. Theory Relat. Fields 110 (1998), 177-276. | Zbl | MR
[T5] - Huge random structures and mean field models for spin glasses, Proceedings of the Berlin international congress of mathematicians, Documenta Math. (1998). | Zbl | MR
[T6] - La page de Michel Talagrand, http://www.proba.jussieu.fr







