@article{AIHPB_1995__31_3_485_0,
author = {Borodin, A. N. and Freidlin, M. I.},
title = {Fast oscillating random perturbations of dynamical systems with conservation laws},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {31},
year = {1995},
pages = {485-525},
mrnumber = {1338450},
zbl = {0831.60066},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_1995__31_3_485_0}
}
Borodin, A. N.; Freidlin, M. I. Fast oscillating random perturbations of dynamical systems with conservation laws. Annales de l'I.H.P. Probabilités et statistiques, Tome 31 (1995) pp. 485-525. http://gdmltest.u-ga.fr/item/AIHPB_1995__31_3_485_0/
[1] , Limit theorem for solutions of differential equations with random right-hand side, Theory Prob. Appl., Vol. 22, 3, 1977, pp. 482-497. | MR 517995 | Zbl 0412.60067
[2] and , A stochastic theory of adiabatic invariance, Comm. Math. Phys., Vol. 149, 1992, pp. 97-126. | MR 1182412 | Zbl 0755.60095
[3] , Stochastic Processes, Wiley, New York, 1960. | MR 58896 | Zbl 0053.26802
[4] , Functional Integration and Partial Differential Equations, Princeton Univ. Press., 1985. | MR 833742 | Zbl 0568.60057
[5] and , Random Perturbations of Dynamical Systems, Springer-Verlag, 1984. | MR 722136 | Zbl 0522.60055
[6] and , Diffusion process on graphs and averaging principle, The Annals of Probability, Vol. 21, 4, 1993, pp. 2215-2245. | MR 1245308 | Zbl 0795.60042
[7] and , Random perturbation of Hamiltonian Systems, to appear in The Memoirs AMS. | MR 1201269 | Zbl 0804.60070
[8] , A limit thorem for solutions of differential equations with random right-hand side, Theory Prob. Appl., Vol. 11, 3, 1966, pp. 390-406. | Zbl 0202.48601
[9] , On processes defined by differential equations with a small parameter, Theory Prob. Appl., Vol. 11, 2, 1966, pp. 211-228. | Zbl 0168.16002
[10] and , Gaussian Randum Processes, Springer-Verlag, 1978. | Zbl 0392.60037
[11] , Convergence of random processes and limit theorems in probability theory, Theory Prob. Appl., Vol. 1, 2, 1956, pp. 157-214. | Zbl 0075.29001
[12] , A course in the theory of stochastic processes, McGraw-Hill Inc., 1981. | Zbl 0502.60001