@incollection{AST_1996__236__103_0, author = {Comets, F.}, title = {A spherical bound for the {Sherrington-Kirkpatrick} model}, booktitle = {Hommage \`a P. A. Meyer et J. Neveu}, series = {Ast\'erisque}, pages = {103--108}, publisher = {Soci\'et\'e math\'ematique de France}, number = {236}, year = {1996}, mrnumber = {1417976}, zbl = {0858.60094}, language = {en}, url = {http://www.numdam.org/item/AST_1996__236__103_0/} }
TY - CHAP AU - Comets, F. TI - A spherical bound for the Sherrington-Kirkpatrick model BT - Hommage à P. A. Meyer et J. Neveu AU - Collectif T3 - Astérisque PY - 1996 SP - 103 EP - 108 IS - 236 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1996__236__103_0/ LA - en ID - AST_1996__236__103_0 ER -
Comets, F. A spherical bound for the Sherrington-Kirkpatrick model, dans Hommage à P. A. Meyer et J. Neveu, Astérisque, no. 236 (1996), pp. 103-108. http://www.numdam.org/item/AST_1996__236__103_0/
[ALR] Some rigorous results on the Sherrington-Kirkpatrick spin-glass model. Comm. Math. Phys. 112, 3-20. | DOI | MR | Zbl
, , (1987):[BGP] Gibbs states of the Hopfield model with extensively many patterns. Preprint, Marseille 1994. | MR | Zbl
, , :[BK] The spherical model of a ferromagnet. Phys. Rev. 86, 821-825. | DOI | MR | Zbl
, (1952):[BY] Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Ann. Prob. 16, 1729-1741. | DOI | MR | Zbl
, (1988):[CN] The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus : the high temperature case. Comm. Math. Phys. 166, 549-564. | DOI | MR | Zbl
, (1995):[G] Asymptotics of the distribution of the spectrum of random matrices. Russian Math. Surv. 44, 3-36. | DOI | MR | Zbl
(1989) :[Gu] Fluctuations and thermodynamic variables in mean field spin glass models. Preprint, Rome 1992. | Zbl
:[KTJ] Spherical models of spin-glass. Phys. Rev. Lett. 36, 1217-1220. | DOI
, , (1976) :[MPV] Spin glass theory and beyond. Lect. Notes in Physics 9, World Scientific, Singapore. | MR | Zbl
, , (1987) :[PS] Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model. J. Stat. Phys. 62, 1-19. | DOI | MR
, (1991) :[S] Private communication on a bound of G. Halasz, Budapest (1994).
:[SK] Solvable model of a spin-glass, Phys. Rev. Lett. 35, 1792-1796. | DOI
, (1975) :[T] Concentration of measure and isoperimetric inequalities in product spaces. Preprint, 1994. | Numdam | MR | Zbl
:[Th] Random spin systems. In : Critical phenomena, 1983 Brasov school (ed. Jaffe, Parisi, Ruelle) 136-186. Progress in Physics II, Birkhäuser, Boston. | DOI | MR
(1985) :