@incollection{SB_1986-1987__29__207_0,
author = {Sznitman, Alain-Sol},
title = {Grandes d\'eviations},
booktitle = {S\'eminaire Bourbaki : volume 1986/87, expos\'es 669-685},
series = {Ast\'erisque},
note = {talk:680},
pages = {207--227},
publisher = {Soci\'et\'e math\'ematique de France},
number = {152-153},
year = {1987},
mrnumber = {936856},
zbl = {0636.60023},
language = {fr},
url = {http://www.numdam.org/item/SB_1986-1987__29__207_0/}
}
TY - CHAP AU - Sznitman, Alain-Sol TI - Grandes déviations BT - Séminaire Bourbaki : volume 1986/87, exposés 669-685 AU - Collectif T3 - Astérisque N1 - talk:680 PY - 1987 SP - 207 EP - 227 IS - 152-153 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1986-1987__29__207_0/ LA - fr ID - SB_1986-1987__29__207_0 ER -
%0 Book Section %A Sznitman, Alain-Sol %T Grandes déviations %B Séminaire Bourbaki : volume 1986/87, exposés 669-685 %A Collectif %S Astérisque %Z talk:680 %D 1987 %P 207-227 %N 152-153 %I Société mathématique de France %U http://www.numdam.org/item/SB_1986-1987__29__207_0/ %G fr %F SB_1986-1987__29__207_0
Sznitman, Alain-Sol. Grandes déviations, dans Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Exposé no. 680, 21 p. http://www.numdam.org/item/SB_1986-1987__29__207_0/
[1] - Grandes déviations et applications, Lect. Notes in Math. 774, Springer (1980). | MR | Zbl
[2] - Formule de Taylor stochastique..., Lect. Notes in Math. 921, 237-284, Springer (1982). | Numdam | MR | Zbl
[3] - Densité des diffusions en temps petit..., Lect. Notes in Math. 1059, 402-498, Springer (1984). | Numdam | MR | Zbl
[4] , - Large deviations of the sample mean in general vector space, Ann. Probab. 7, 587-621 (1979). | MR | Zbl
[5] - Large deviation and stochastic homogeneisation, à paraître Ann. Math. Pura Appl. | Zbl
[6] , - Sur l'équivalent du module de continuité des diffusions, Séminaire de Probabilités XXI, Lect. Notes in Math., Springer (1987). | Numdam | MR | Zbl
[7] - Développement asymptotique du noyau de la chaleur hors du cutlocus, à paraître. | Numdam | Zbl
[8] - Large deviations and Malliavin calculus, Progress in Maths. n° 45, Birkhäuser, Basel (1984). | MR | Zbl
[9] - Laplace approximations for sums of independant random vectors, Probab. Th. Rel. Fields, part II (preprint), 72, 2, 305-318 (1986). | MR | Zbl
[10] - Tunnelling and nucleation for a local mean field model, à paraître.
[11] - Grandes déviations pour les champs de Gibbs sur Zd , C.R. Acad. Sci., t. 303, série I, n° 11, 511-513 (1986). | MR | Zbl
[12] - Sur un nouveau théorème limite de la théorie des probabilités, Hermann, Paris (1937). | JFM
[13] , - Long time fluctuations of weakly interacting diffusions, preprint.
[14] , - Asymptotic evaluation of certain Wiener integrals for large time, Proc. conf. London, April 1974, A.M. Arthurs Ed., Clarendon, Oxford (1975). | MR | Zbl
[15] , - Asymptotic evaluation of certain Markov process expectations for large time, I, Comm. Pure Appl. Math., 28, 1-47 (1975) ; II, 28, 279-301 (1975) ; III, 29, 389-461 (1977), IV, 36, 183-212 (1983). | MR | Zbl
[16] , - Asymptotics for the Wiener sausage, Comm. Pure Appl. Math., 28, 525-565 (1975). | MR | Zbl
[17] , - On the principal eigenvalue of second-order elliptic differential operator, Comm. Pure Appl. Math., 29, 595-621 (1976). | MR | Zbl
[18] , - On laws of the iterated lagorithm for local times, Comm. Pure Appl. Math., 30, 707-753 (1977). | MR | Zbl
[19] , - On the number of distinct sites visited by a random walk, Comm. Pure Appl. Math., 32, 721-747 (1979). | MR | Zbl
[20] , _ A law of the iterated logarithm for total occupation times of transient Brownian motion, Comm. Pure Appl. Math., 33, 365-393 (1980). | MR | Zbl
[21] , - Asymptotics for the Polaron, Comm. Pure Appl. Math., 36, 505-528 (1983). | MR | Zbl
[22] , - Large deviations for stationary Gaussian processes, Commun. Math. Phys., 97, 187-210 (1985). | MR | Zbl
[23] - Quelques formules asymptotiques pour les perturbations de systèmes dynamiques, Ann. Inst. Henri Poincaré, série B, 16, 1, 17-28 (1980). | EuDML | Numdam | MR | Zbl
[24] - Démonstration probabiliste de certains développements asymptotiques quasi-classiques, Bull. Sc. Math., 2e série, 109, 179-208 (1985). | MR | Zbl
[25] - On the asymptotic relation between equilibrium density and exit measure in the exit problem, Stochastics, 12, 303-330 (1984). | MR | Zbl
[26] - Entropy, large deviations and statistical mechanics, Springer, New York (1986). | MR | Zbl
[27] - Large deviation for the spin per site in Ferromagnetic models, Preprint (1986).
[28] , - Asymptotics for the Wiener sausage with drift, preprint. | MR
[29] , - Large fluctuations for a non-linear heat equation with noise, J. Phys. A : Math. Gen., 15, 3025-3055 (1982). | MR | Zbl
[30] - Exit probabilities and optimal stochastic control, Appl. Math. Optim., 4, 329-346 (1978). | MR | Zbl
[31] - A stochastic control approach to some large deviation problems, Proc. Rome conf., Lect. Notes in Math., 1119, New York (1984). | MR | Zbl
[32] , - Large deviations for the empirical field of a Gibbs measure, preprint (1986). | MR
[33] - Sublimiting distributions and stabilization of solutions of parabolic equations with a small parameter, Soviet Math. Dokl., 18, 4, 1114-1118 (1977). | MR | Zbl
[34] - The averaging principle and theorems on large deviations, Russian Math. Surveys, 33, 5, 117-176 (1978). | MR | Zbl
[35] - Functional integration and partial differential equations, Annals of Math. Studies 109, Princeton Univ. Press, Princeton (1985). | MR | Zbl
[36] - Stochastic differential equations and applications, Vol. 2, Academic Press, New York (1976). | MR | Zbl
[37] - On large deviations from the invariant measure, Theory Probab. Appl., 22, 1, 24-39 (1977). | MR | Zbl
[38] - A new energy characterization of the smallest eigenvalue of the Schrödinger equation, Comm. Pure Appl. Math., 30, 755-765 (1977). | MR | Zbl
[39] , , - Large deviations of uniformly recurrent Markov additive process, Adv. in Appl. Math., 6, 4, 373-412 (1985). | MR | Zbl
[40] , , - New approach to the semi-classical limit of quantum mechanics, Commun. Math. Phys., 80, 223-254 (1981). | MR | Zbl
[41] - On the asymptotics of the transition density of processes with small diffusion, Theory Probab. Appl., 21, 3, 513-522 (1976). | MR | Zbl
[42] - On the principal eigenvalue in a singular perturbation problem with hyperbolic limit points and circles, J. Diff. Equations, 37, 108-139 (1980). | MR | Zbl
[43] - The exit problem for small random perturbation of dynamical systems with a hyperbolic fixed point, Israel J. Math. , 40, 1, 74-96 (1981). | MR | Zbl
[44] - The variational principle for stationary Gaussian Markov fields, Lect. Notes in Control 49, 179-187, Springer (1983). | MR | Zbl
[45] - Entropy and Equilibrium states in classical statistical Mechanics, Lect. Notes in Physics, 20, 1-113, Springer (1973).
[46] - Développement asymptotique de la densité des diffusions dégénérées, preprint.
[47] - Grandes déviations, calcul des variations et solutions de viscosité, preprint.
[48] - Diffusion processes and Riemannian geometry, Russian Math. Survey, 30, 1-53 (1975). | MR | Zbl
[49] - On the spectral distribution of certain integro-differential operators with random potential, Osaka, J. Math., 16, 633-666 (1979). | MR | Zbl
[50] - Large deviations for Gibbs random fields, preprint (1986). | MR
[51] - Large deviation in ergodic theory, Sem. on Stoch. Proc. 84, Cinlar Ed. Birkhäuser, Boston (1986). | MR | Zbl
[52] - Behaviour of some Wiener integrals as t → ∞ and the density of states ..., Teor. Mat. Fiz, 32, 88-95 (1977) (en Russe). | Zbl
[53] - Gaussian Processes and Hammerstein integral equations, Trans. Amer. Math. Soc., 134, 193-216 (1968). | MR | Zbl
[54] - Remarques sur les petites perturbations de systèmes dynamiques, Lect. Notes in Math., 921, 184-200, Springer (1982). | Numdam | MR | Zbl
[55] - Convex Analysis, Princeton University Press, Princeton (1980). | Zbl
[56] - On the probability of large deviations of random variables, Selected Trans. Math. Stat. Prob., 1, 213-244 (1961). | MR | Zbl
[57] - Grandes déviations et applications statistiques, Astérisque 68, S.M.F., Paris (1979). | Numdam | MR | Zbl
[58] - Some asymptotic formulae for Wiener integrals, Trans. Amer. Math. Soc., 125, 63-85 (1966). | MR | Zbl
[59] - An introduction to the theory of large deviations, Springer, New York (1984). | MR | Zbl
[60] - Entropy function for dynamical systems and their random perturbation, Proc. Int. Symp. on S.D.E., Kyoto (1982).
[61] - Asymptotic probabilities and differential equations, Comn. Pure Appl. Math., 19, 261-296 (1966). | MR | Zbl
[62] - Diffusion processes in a small time interval, Comm. Pure Appl. Math., 20, 659-685 (1967). | MR | Zbl
[63] - Large deviations and applications, SIAM, Philadelphia (1984). | MR
[64] - On the asymptotics of matrices with elements..., Soviet Math. Dokl., 13, 1, 65-68 (1972). | Zbl
[65] - Formulae for eigenfunctions and eigenmeasures associated with a Markov process, Theory Probab. Appl., 18, 1, 1-26 (1973). | Zbl
[66] , - On small random perturbations of dynamical systems, Russian Math. Surveys, 25, 1, 1-55 (1970). | MR | Zbl
[67] , - Random perturbations of dynamical systems, Springer, New York (1984). | MR | Zbl
[68] - Limit theorems for large deviations and reaction-diffusion equations, Ann. Prob., 13, 3, 639-675 (1985). | MR | Zbl
[69] , , - Small random perturbations of infinite dimensional dynamical systems and nucleation theory, Ann. Inst. H. Poincaré, Phys. th., 44, 4, 343-396 (1986). | Numdam | MR | Zbl
