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arxiv: 1702.01837 · v4 · pith:4Q7HQT35new · submitted 2017-02-07 · 🧮 math.AP

About small eigenvalues of Witten Laplacian

classification 🧮 math.AP
keywords associatedeigenvalueslaplacianwittenarrheniuscaseconsiderdegenerated
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We study the eigenvalues of the semiclassical Witten Laplacian $\Delta_\phi$ associated to a potential $\phi$. We consider the case where the sequence of Arrhenius numbers $S_1\leq \ldots\leq S_n$ associated to $\phi$ is degenerated, that is the preceding inequality are not necessarily strict.

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