[Sans titre]
| hal.structure.identifier | Institut Denis Poisson [IDP] | |
| dc.contributor.author | LE PEUTREC, Dorian | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MICHEL, Laurent | |
| hal.structure.identifier | Laboratoire de Mathématiques Blaise Pascal [LMBP] | |
| dc.contributor.author | NECTOUX, Boris | |
| dc.date.accessioned | 2024-04-04T02:32:21Z | |
| dc.date.available | 2024-04-04T02:32:21Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190378 | |
| dc.description.abstractEn | In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (including the ZigZag process and the Bouncy Particle Sampler process) with refreshment rate α on the one-dimensional torus T. These asymptotic equivalents are usually called Eyring-Kramers type formulas in the literature. The case when the refreshment rate α vanishes on T is also considered. | |
| dc.language.iso | en | |
| dc.subject.en | Piecewise Deterministic Markov Processes | |
| dc.subject.en | small temperature regime | |
| dc.subject.en | Eyring-Kramers formulas | |
| dc.subject.en | metastability | |
| dc.subject.en | spectral theory | |
| dc.subject.en | semiclassical analysis | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 2202.01465 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03553895 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03553895v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LE%20PEUTREC,%20Dorian&MICHEL,%20Laurent&NECTOUX,%20Boris&rft.genre=preprint |
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