A NECESSARY AND SUFFICIENT CONDITION FOR PROBABILISTIC CONTINUITY ON A BOUNDARYLESS COMPACT RIEMANNIAN MANIFOLD
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | IMEKRAZ, Rafik | |
| dc.date.accessioned | 2024-04-04T02:52:15Z | |
| dc.date.available | 2024-04-04T02:52:15Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192048 | |
| dc.description.abstractEn | We give a necessary and sufficient condition for the uniform convergence of random series of eigenfunctions on a boundaryless compact Riemannian manifold. Due to the lack of homogeneity of a compact manifold (by comparison with the case of compact groups studied by Marcus and Pisier), our proof relies on a suitable generalization of the Dudley-Fernique obtained via the theory of majorizing measures. As a consequence, we generalize an estimate of Burq and Lebeau about the supremum of a random eigenfunction. Finally, we prove that our results are universal w.r.t. the random variables (thus generalizing a result of Marcus and Pisier), w.r.t. compact submanifolds and w.r.t. the Riemannian structure of the underlying manifold. | |
| dc.language.iso | en | |
| dc.title.en | A NECESSARY AND SUFFICIENT CONDITION FOR PROBABILISTIC CONTINUITY ON A BOUNDARYLESS COMPACT RIEMANNIAN MANIFOLD | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| 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-02866993 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02866993v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=IMEKRAZ,%20Rafik&rft.genre=preprint |
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