Resonances for a diffusion with small noise

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dc.creatorKlein, Markus
dc.creatorZitt, Pierre-André
dc.date2008-05-01
dc.date.accessioned2026-07-07T12:18:33Z
dc.date.available2026-07-07T12:18:33Z
dc.descriptionWe study resonances for the generator of a diffusion with small noise in $R^d$ :$ L_ε= -εΔ+ \nabla F \cdot \nabla$, when the potential F grows slowly at infinity (typically as a square root of the norm). The case when F grows fast is well known, and under suitable conditions one can show that there exists a family of exponentially small eigenvalues, related to the wells of F . We show that, for an F with a slow growth, the spectrum is R+, but we can find a family of resonances whose real parts behave as the eigenvalues of the "quick growth" case, and whose imaginary parts are small.
dc.description36 p
dc.identifierhttps://arxiv.org/abs/0805.0106
dc.identifierhttp://arxiv.org/abs/0805.0106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212447
dc.subjectSpectral Theory
dc.subjectProbability
dc.titleResonances for a diffusion with small noise
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