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SHARP SPECTRAL GAP OF ADAPTIVE LANGEVIN DYNAMICS

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDELANDE, Loïs
dc.date.accessioned2024-04-04T02:32:16Z
dc.date.available2024-04-04T02:32:16Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190367
dc.description.abstractEnWe consider a degenerated Fokker-Planck type differential operator associated to an adaptive Langevin dynamic. We prove Eyring-Kramers formulas for the bottom of the spectrum of this operator in the low temperature regime. The main ingredients are resolvent estimates obtained via hypocoercive techniques and the construction of sharp Gaussian quasimodes through an adaptation of the WKB method.
dc.language.isoen
dc.title.enSHARP SPECTRAL GAP OF ADAPTIVE LANGEVIN DYNAMICS
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04329466
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04329466v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DELANDE,%20Lo%C3%AFs&rft.genre=preprint


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