Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach: The Case With Boundary

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Metastability: A Potential-Theoretic Approach (2016, background): “Very recently, there has been renewed progress on this issue in the case of the reversible diffusions that we will comment on below [18], [19], [20].”
Precise Arrhenius Law for p-forms: The Witten Laplacian and Morse–Barannikov Complex (2011, methodology): “Moreover, the analysis carried out in [19–21,33–35], relied on the important remark that the eigenvalues of Δ f,h are the squares of the singular values of the differential d f,h.”
On hyperboundedness and spectrum of Markov operators (2014, background): “More precise descriptions of the behavior of the small eigenvalues λn(Lβ) (i.e. those for which ln > 0), such as the expansion of the pre-exponential factors, were proven for instance in Helffer and Nier [31] (see also Helffer et al. [32] or Bovier et al. [33] and the references given therein), but ”
Kramers' law: Validity, derivations and generalisations (2011, methodology): “This approach has been used by Helffer, Klein and Nier [HKN04] to prove Kramers' law (1.9) with a full asymptotic expansion of the prefactor C = C(ε), in [HN06] to describe the case of general manifolds with boundary, and by Le Peutrec [LP10] for the case with Neumann boundary conditions.”