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Eyring-Kramers law for Fokker-Planck type differential operators

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBONY, Jean-François
hal.structure.identifierInstitut Denis Poisson [IDP]
dc.contributor.authorLE PEUTREC, Dorian
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMICHEL, Laurent
dc.date.accessioned2024-04-04T02:42:58Z
dc.date.available2024-04-04T02:42:58Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191294
dc.description.abstractEnWe 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.
dc.language.isoen
dc.title.enEyring-Kramers law for Fokker-Planck type differential operators
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
dc.subject.halMathématiques [math]/Probabilités [math.PR]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03513124
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03513124v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BONY,%20Jean-Fran%C3%A7ois&LE%20PEUTREC,%20Dorian&MICHEL,%20Laurent&rft.genre=preprint


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