Metastable diffusions with degenerate drifts
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en
Document de travail - Pré-publication
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We study the spectrum of the semiclassical Witten Laplacian associated to a smooth function f. We assume that f is a confining Morse-Bott function. Under this assumption we show that the Witten Laplacian admits exponentially ...Leer más >
We study the spectrum of the semiclassical Witten Laplacian associated to a smooth function f. We assume that f is a confining Morse-Bott function. Under this assumption we show that the Witten Laplacian admits exponentially small eigenvalues separated from the rest of the spectrum. Moreover, we establish Eyring-Kramers formula for these eigenvalues. Our approach is based on microlocal constructions of quasimodes near the critical submanifolds.< Leer menos
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