Abstract
We study a semiclassical random walk with respect to a probability measure with a finite number of wells. We show that the associated operator has exactly eigenvalues exponentially close to (in the semiclassical sense), and that the others are away from . We also give an asymptotic of these small eigenvalues. The key ingredient in our approach is a general factorization result of pseudodifferential operators, which allows us to use recent results on the Witten Laplacian.
Citation
Jean-François Bony. Frédéric Hérau. Laurent Michel. "Tunnel effect for semiclassical random walks." Anal. PDE 8 (2) 289 - 332, 2015. https://doi.org/10.2140/apde.2015.8.289
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