@article{AIHPA_1986__44_4_343_0, author = {Cassandro, M. and Olivieri, E. and Picco, P.}, title = {Small random perturbations of infinite dimensional dynamical systems and nucleation theory}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {343--396}, publisher = {Gauthier-Villars}, volume = {44}, number = {4}, year = {1986}, mrnumber = {850897}, zbl = {0598.35133}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1986__44_4_343_0/} }
TY - JOUR AU - Cassandro, M. AU - Olivieri, E. AU - Picco, P. TI - Small random perturbations of infinite dimensional dynamical systems and nucleation theory JO - Annales de l'I.H.P. Physique théorique PY - 1986 SP - 343 EP - 396 VL - 44 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1986__44_4_343_0/ LA - en ID - AIHPA_1986__44_4_343_0 ER -
%0 Journal Article %A Cassandro, M. %A Olivieri, E. %A Picco, P. %T Small random perturbations of infinite dimensional dynamical systems and nucleation theory %J Annales de l'I.H.P. Physique théorique %D 1986 %P 343-396 %V 44 %N 4 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1986__44_4_343_0/ %G en %F AIHPA_1986__44_4_343_0
Cassandro, M.; Olivieri, E.; Picco, P. Small random perturbations of infinite dimensional dynamical systems and nucleation theory. Annales de l'I.H.P. Physique théorique, Tome 44 (1986) no. 4, pp. 343-396. http://www.numdam.org/item/AIHPA_1986__44_4_343_0/
[1] Large fluctuations for a non linear heat equation with noise. J. Phys. A : Math. Gen., t. 15, 1982, p. 3025-3055. | MR | Zbl
and ,[2] Scienta Sinica, t. 24, 1981, p. 483-496. | MR
and ,[3] Toward a rigorous molecular theory of metastability. In Fluctuation Phenomena. Studies in Statistical Mechanics, edited by J. L. Lebowitz and E. W. Montroll. Amsterdam, North Holland, 1979. | MR
and ,[4] Stability Equilibrium and Metastability in Statistical Mechanics. Phys. Rep., t. 57, 1980, p. 307. | MR
,[5] Metastability behaviour of Stochastic Dynamics: a pathwise approach. J. Stat. Phys., t. 35, 1984, p. 603-634. | MR | Zbl
, , and ,[6] Metastability for a class of dynamical systems subject to small random perturbations. Preprint I. H. E. S. Octobre 1984. | MR
, and ,[7] On small random perturbations of dynamical systems, Russian Math. Survey, t. 25, 1, 1970, p. 1-55. Some problems concerning stability under small random perturbations. Theory of Probability and Appl., t. 17, 2, 1972, p. 269-283. | MR | Zbl
and ,[8] Random perturbations of dynamical system. Springer Verlag. New-York, Berlin, Heidelberg, Tokyo, 1984. | MR
and ,[9] Mathematical statistical mechanics. Princeton University, Press 1972. | Zbl
,[10] Symmetry breaking and random waves for magnetic systems on a circle. Wahrscheinlichkeitstheorie Verw. Geb., t. 63, 1983, p 297-348. | MR | Zbl
and ,[11] Periodic Solution of x'' + cx' + g(x) = ∈f(t). Memoirs of the American Mathematical Society, n° 31, 1959. | MR | Zbl
,[12] A bifurcation problem for a non linear parabolic equation. J. Applicable Anal., t. 4, 1974, p. 17-37. | MR | Zbl
and ,[13] Geometric theory of Semilinear Parabolic equation. Lecture notes in Math., n° 840, Springer Verlag, Berlin, Heidelbérg, New York, 1981. | MR | Zbl
,[14] Critical solutions of autonomous non linear boundary value problems. Indiana University. Math. Journal, t. 24, n° 7, 1975, p. 651-658. | Zbl
,[15] Le nombre de solutions de certains problèmes semi-linéaires elliptiques. J. of Functional Analysis, t. 40, 1981, p. 1-29. | MR | Zbl
,[16] Theory of ordinary differential equations. Mc Grawhill, New York, Toronto, London, 1955. | MR | Zbl
and ,[17] Methods of Methematical Physics. t. 1. Intersciences, New York, 1953. | MR | Zbl
and ,