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Uniform Estimates for Metastable Transition Times in a Coupled Bistable System

   
@article{EJP751,
	author = {Florent Barret and Anton Bovier and Sylvie Méléard},
	title = {Uniform Estimates for Metastable Transition Times in a Coupled Bistable System},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Metastability; coupled bistable systems; stochastic Ginzburg-Landau equation; metastable transition time; capacity estimates},
	abstract = {We consider a coupled bistable $N$-particle system on $\mathbb{R}^N$ driven by a Brownian noise, with a strong coupling corresponding  to the synchronised regime. Our aim is to obtain sharp estimates  on the metastable transition times between the two stable states,  both for fixed $N$ and in the limit when $N$ tends to infinity,  with error estimates uniform in $N$. These estimates are a main  step towards a rigorous understanding of the metastable behavior  of infinite dimensional systems, such as the stochastically perturbed  Ginzburg-Landau equation. Our results are based on the potential theoretic approach to metastability.},
	pages = {no. 12, 323-345},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-751},    
        url = {http://ejp.ejpecp.org/article/view/751}}