Geodesic
Verres de Spin et optimisation combinatoire
Séminaire Bourbaki : volume 1998/99, exposés 850-864, Astérisque, no. 266 (2000), Exposé no. 859, 31 p.

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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.. http://geodesic.mathdoc.fr/item/SB_1998-1999__41__287_0/
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[A-L-R] M. Aizenman, J. L. Lebowitz, D. Ruelle - Some rigorous results on the Sherrington-Kirkpatrick model, Commun Math. Phys. 112 (1987), 3-20. | Zbl | MR

[A-G-S] D. J. Amit, H. Gutfreund, H. Sompolinsky - Statistical Mechanics of Neural Networks near Saturation, Annals of Physics 173 (1987), 30-67.

[BA-G] G. Ben Arous, A. Guionnet - Langevin spin glass dynamic, A. Bovier et P. Picco editors, Progress in Probability, vol. 41, Birkhäuser, Boston (1998). | MR

[B-S] E. Bolthausen, A. S. Sznitman - On Ruelle's probability casades and an astract cavity method, Comm. Math. Phys. 197 (1997), 247-276. | Zbl | MR

[B-G] A. Bovier, V. Gayrard - 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] A. Bovier, V. Gayrard, P. Picco - Gibbs states of the Hopfield model with extensively many patterns, J. Stat. Phys. 79 (1995), 395-414. | Zbl | MR

[B-P] A. Bovier, P. Picco (editors), - Mathematical aspects of Spin Glasses and Neural Networks, Progress in Probability, vol. 41, Birkhäuser, Boston (1997). | Zbl | MR

[C] F. Comets - 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] F. Comets, J. Neveu - Sherrington-Kirkpatrick model of spin glasses and stochastic calculus : the high temperature case, Commun Math. Phys. 166 (1995), 549-564. | Zbl | MR

[D] B. Derrida - Random energy model : An exactly solvable model of disordered systems, Phy. Rev. B, 24 # 5 (1981), 2613-2626. | MR

[D-G] B. Derrida, E. Gardner - Optimal storage properties of Neural Network models, J. Phy. A. 21 (1988), 271-284. | MR

[F-Z1] J. Fröhlich, B. Zegarlinski - The high-temperature phase of long-range spin glasses, Comm. Math. Phys. 110 (1987), 121-155. | MR

[F-Z2] J. Fröhlich, B. Zegarlinski - Some comments on the Sherrington-Kirkpatrick model of spin glasses, Comm. Math. Phy. 112 (1987), 553-566. | MR

[F] F. Fernique - 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] E. Gardner - Spin glasses with p -spin interactions, Nuclear Phys. B 257, # 6 (1985), 747-765. | MR

[G2] E. Gardner - The space of interactions in neural network models, J. Phys. A. 21 (1988), 257-270. | Zbl | MR

[G] A. Guionnet - Averaged and quenched propagation of chaos for spin glass dynamics, Probab. Theor. relat. fields 109 (1997), 183-215. | Zbl | MR

[H] J. J. Hopfield - Neural networks and physical systems with emergent collective computational abilities, Proc. Natl. Acad. Sci. USA 79 (1982), 1554-2558. | MR

[H-K-P] J. Hertz, A. Krogh, R. C. Palmer - Introduction to the theory of Neural computation, Addison Wesley (1991).

[K-T-J] J. M. Kosterlitz, D. J. Thouless, K. C. Jones - Spherical model of a Spin-Glass, Phys. Rev. letters 36 (1976), 1217-1220.

[Lou] D. Loukianova - Lower bounds on the restitution error of the Hopfield model, Probab. Th. Relat. Fields 107 (1997), 161-176. | Zbl | MR

[M] M. Mezard - 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] M. Mezard, G. Parisi, M. Virasiro - Spin glass theory and beyond, World Scientific, Singapore (1987). | Zbl | MR

[M-Z] R. Monasson, R. Zecchina - Statistical Mechanics of the Random K -Sat Model, Phys. Rev. E (1997), 1357-1370. | MR

[N] C. Newman - Memory capacity in neural network models : Rigorous lower bounds, Neural Networks, I (1988), 223-238.

[N-S] C. Newman, D. Stein - 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] L. Pastur, M. Shcherbina - Absence of Self-Averaging of the order parameter in the Sherrington-Kirkpatrick model, J. Stat. Phys. 62 (1991), 1-19. | MR

[P-Y] J. Pitman, M. Yor - The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator, Ann. Probab. 25 (1997), 855-900. | Zbl | MR

[R] D. Ruelle - A mathematical reformulation of Derrida's REM and GREM, Comm. Math. Phys. 108 (1987), 225-239. | Zbl | MR

[Sh1] M. Shcherbina -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] M. Shcherbina - On the Replica-Symmetric Solution for the Sherrington-Kirkpatrick Model, Helv. Phys. Acta 70 (1997), 838-853. | Zbl | MR

[S-K] D. Sherrington, S. Kirkpatrick - Solvable model of a spin glass, Phys. Rev. Lett. 35 (1972), 1792-1796.

[T1] M. Talagrand - Regularity of Gaussian processes, Acta Math. 159 (1987), 99-149. | Zbl | MR

[T2] M. Talagrand - Concentration of measure and isoperimetric inequalities in product spaces, Publ. Math. I.H.E.S. 81 (1995), 73-205. | Zbl | MR | Numdam

[T3] M. Talagrand - The Sherrington-Kirkpatrick model: A challenge for mathematicians, Probab. Theor. Relat. Fields 110 (1998), 109-176. | Zbl | MR

[T4] M. Talagrand - Rigorous results for the Hopfield model with many patterns, Probab. Theory Relat. Fields 110 (1998), 177-276. | Zbl | MR

[T5] M. Talagrand - Huge random structures and mean field models for spin glasses, Proceedings of the Berlin international congress of mathematicians, Documenta Math. (1998). | Zbl | MR

[T6] M. Talagrand - La page de Michel Talagrand, http://www.proba.jussieu.fr