Stochastic Euler-Poincaré reduction
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ARNAUDON, Marc | |
| hal.structure.identifier | grupo de fisica matematica | |
| dc.contributor.author | CHEN, Xin | |
| hal.structure.identifier | grupo de fisica matematica | |
| dc.contributor.author | CRUZEIRO, Ana Bela | |
| dc.date.accessioned | 2024-04-04T03:20:57Z | |
| dc.date.available | 2024-04-04T03:20:57Z | |
| dc.date.created | 2014-07-29 | |
| dc.date.issued | 2014-08-06 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194626 | |
| dc.description.abstractEn | We prove a Euler-Poincaré reduction theorem for stochastic processes taking values on a Lie group, which is a generalization of the reduction argument in Marsden-Ratiu (2003) for the deterministic case. We also show examples of its application to SO(3) and to the group of diffeomorphisms, which includes the Navier-Stokes equation on a bounded domain and the Camassa-Holm equation. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Physics (AIP) | |
| dc.title.en | Stochastic Euler-Poincaré reduction | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1063/1.4893357 | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 1204.3922 | |
| bordeaux.journal | Journal of Mathematical Physics | |
| bordeaux.volume | 55 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 8 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01057527 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01057527v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Physics&rft.date=2014-08-06&rft.volume=55&rft.issue=8&rft.eissn=0022-2488&rft.issn=0022-2488&rft.au=ARNAUDON,%20Marc&CHEN,%20Xin&CRUZEIRO,%20Ana%20Bela&rft.genre=article |
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