F. Barret, A. Bovier, and S. Méléard, Uniform Estimates for Metastable Transition Times in a Coupled Bistable System, Electronic Journal of Probability, vol.15, issue.0, 2009.
DOI : 10.1214/EJP.v15-751
URL : https://hal.archives-ouvertes.fr/hal-00400832

A. Bovier, M. Eckhoff, V. Gayrard, and M. Klein, Metastability in Reversible Diffusion Processes I: Sharp Asymptotics for Capacities and Exit Times, Journal of the European Mathematical Society, vol.6, issue.4, pp.399-424, 2004.
DOI : 10.4171/JEMS/14

[. Berglund, B. Fernandez, and B. Gentz, Metastability in interacting nonlinear stochastic differential equations: I. From weak coupling to synchronization, Nonlinearity, vol.20, issue.11, pp.2551-2581, 2007.
DOI : 10.1088/0951-7715/20/11/006
URL : https://hal.archives-ouvertes.fr/hal-00115416

A. Bovier, V. Gayrard, and M. Klein, Metastability in reversible diffusion processes II: precise asymptotics for small eigenvalues, Journal of the European Mathematical Society, vol.7, issue.1, pp.69-99, 2005.
DOI : 10.4171/JEMS/22

]. H. Eyr35 and . Eyring, The activated complex in chemical reactions, Journal of Chemical Physics, vol.3, pp.107-115, 1935.

A. [. Freidlin, Random perturbations of dynamical systems, 1998.

B. Helffer, M. Klein, and F. Nier, Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary, Mémoires de la Société mathématique de France, vol.1, pp.41-85, 2004.
DOI : 10.24033/msmf.417
URL : https://hal.archives-ouvertes.fr/hal-00002744

B. Helffer and F. Nier, Hypoelliptic estimates and spectral theory for Fokker- Planck operators and Witten Laplacians, Lecture Notes in Mathematics, vol.1862, 2005.
DOI : 10.1007/b104762

B. Helffer and J. Sjöstrand, Multiple wells in the semi-classical limit I, Communications in Partial Differential Equations, vol.52, issue.2, pp.337-408, 1984.
DOI : 10.1080/03605308408820335

N. Vassili and . Kolokoltsov, Semiclassical analysis for diffusions and stochastic processes, Lecture Notes in Mathematics, vol.1724, 2000.

H. A. Kramers, Brownian motion in a field of force and the diffusion model of chemical reactions, Physica, vol.7, issue.4, pp.284-304, 1940.
DOI : 10.1016/S0031-8914(40)90098-2

]. D. Ste05 and . Stein, Large fluctuations, classical activation, quantum tunneling, and phase transitions, Braz. J. Phys, vol.35, pp.242-252, 2005.

. D. Vf69-]-a, ?. Ventcel, and M. I. , Fre? ?dlin, Small random perturbations of a dynamical system with stable equilibrium position, Dokl. Akad. Nauk SSSR, vol.187, pp.506-509, 1969.

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