Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach.
Journées équations aux dérivées partielles (2004), article no. 8, 17 p.

We present here a simplified version of recent results obtained with B. Helffer and M. Klein. They are concerned with the exponentally small eigenvalues of the Witten Laplacian on 0-forms. We show how the Witten complex structure is better taken into account by working with singular values. This provides a convenient framework to derive accurate approximations of the first eigenvalues of Δ f,h (0) and solves efficiently the question of weakly resonant wells.

DOI: 10.5802/jedp.8
Nier, Francis 1

1 IRMAR, Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes Cedex, France.
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Nier, Francis. Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach.. Journées équations aux dérivées partielles (2004), article  no. 8, 17 p. doi : 10.5802/jedp.8. http://www.numdam.org/articles/10.5802/jedp.8/

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