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Eyring-Kramers law for Fokker-Planck type differential operators

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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https://hal.archives-ouvertes.fr/hal-03513124
Contributor : Jean Francois Bony Connect in order to contact the contributor
Submitted on : Wednesday, January 5, 2022 - 4:51:11 PM
Last modification on : Wednesday, January 12, 2022 - 3:46:06 AM

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  • HAL Id : hal-03513124, version 1

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

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