Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach.

Nier, Francis

Journées équations aux dérivées partielles, (2004), p. 1-17 / Harvested from Numdam

Résumé

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 $\Delta _{f,h}^{(0)}$ and solves efficiently the question of weakly resonant wells.

Détail

Publié le : 2004-01-01

MR 2135363 | Zbl 1067.35057

DOI : https://doi.org/10.5802/jedp.8

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