Metastability in reversible diffusion processes invariant under a symmetry group
Résumé
We extend the analysis of the problem of metastability of Markovian jump processes with symmetries, initiated in a previous work, to reversible diffusion processes. Using representation theory of finite groups, we prove an Eyring-Kramers law for the low-lying spectrum of the generator of the diffusion, thereby generalizing results by A. Bovier, V. Gayrard, and M. Klein.
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