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Eyring-Kramers law for Fokker-Planck type differential operators

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Jean-François Bony
Dorian Le Peutrec

Abstract

We consider Fokker-Planck type differential operators associated with general Langevin processes admitting a Gibbs stationary distribution. Under assumptions insuring suitable resolvent estimates, we prove Eyring-Kramers formulas for the bottom of the spectrum of these operators in the low temperature regime. Our approach is based on the construction of sharp Gaussian quasimodes which avoids supersymmetry or PT-symmetry assumptions.
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Dates and versions

hal-03513124 , version 1 (05-01-2022)

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  • HAL Id : hal-03513124 , version 1

Cite

Jean-François Bony, Dorian Le Peutrec, Laurent Michel. Eyring-Kramers law for Fokker-Planck type differential operators. 2022. ⟨hal-03513124⟩
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