Tunnel effect for semiclassical random walks
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONY, Jean-François | |
| hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
| dc.contributor.author | HÉRAU, Frédéric | |
| hal.structure.identifier | Laboratoire Jean Alexandre Dieudonné [LJAD] | |
| dc.contributor.author | MICHEL, Laurent | |
| dc.date.accessioned | 2024-04-04T02:20:19Z | |
| dc.date.available | 2024-04-04T02:20:19Z | |
| dc.date.created | 2014-01-10 | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 2157-5045 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189476 | |
| dc.description.abstractEn | We study a semiclassical random walk with respect to a probability measure with a finite number n_0 of wells. We show that the associated operator has exactly n_0 exponentially close to 1 eigenvalues (in the semiclassical sense), and that the other are O(h) away from 1. We also give an asymptotic of these small eigenvalues. The key ingredient in our approach is a general factorization result of pseudodifferential operators, which allows us to use recent results on the Witten Laplacian. | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.subject.en | Semiclassical analysis | |
| dc.subject.en | Spectral theory | |
| dc.subject.en | Probability | |
| dc.title.en | Tunnel effect for semiclassical random walks | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2140/apde.2015.8.289 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| bordeaux.journal | Analysis & PDE | |
| bordeaux.page | 289–332 | |
| bordeaux.volume | 8 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00927089 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00927089v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Analysis%20&%20PDE&rft.date=2015&rft.volume=8&rft.issue=2&rft.spage=289%E2%80%93332&rft.epage=289%E2%80%93332&rft.eissn=2157-5045&rft.issn=2157-5045&rft.au=BONY,%20Jean-Fran%C3%A7ois&H%C3%89RAU,%20Fr%C3%A9d%C3%A9ric&MICHEL,%20Laurent&rft.genre=article |
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