Homogenization at different linear scales, bounded martingales and the Two-Scale Shuffle limit
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| dc.contributor.author | SANTUGINI-REPIQUET, Kévin | |
| dc.date.created | 2011-09-09 | |
| dc.date.issued | 2013-10-10 | |
| dc.identifier.issn | 1292-8119 | |
| dc.description.abstractEn | In this paper, we consider two-scale limits obtained with increasing homogenization periods, each period being an entire multiple of the previous one. We establish that, up to a measure preserving rearrangement, these two-scale limits form a martingale which is bounded: the rearranged two-scale limits themselves converge both strongly in $\mathrm{L}^2$ and almost everywhere when the period tends to $+\infty$. This limit, called the Two-Scale Shuffle limit, contains all the information present in all the two-scale limits in the sequence. | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.title.en | Homogenization at different linear scales, bounded martingales and the Two-Scale Shuffle limit | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1051/cocv/2012039 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1209.6145 | |
| bordeaux.journal | ESAIM: Control, Optimisation and Calculus of Variations | |
| bordeaux.page | 931--946 | |
| bordeaux.volume | 19 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00621265 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00621265v1 | |
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