On some random thin sets of integers
| dc.creator | Li, Daniel | |
| dc.creator | Queffélec, Hervé | |
| dc.creator | Rodriguez-Piazza, Luis | |
| dc.date | 2009-04-16 | |
| dc.date.accessioned | 2026-07-07T13:05:03Z | |
| dc.date.available | 2026-07-07T13:05:03Z | |
| dc.description | We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality of Boucheron, Lugosi and Massart, we give a simpler proof of one of our results in {\sl Some new thin sets of integers in Harmonic Analysis, Journal d'Analyse Mathématique 86 (2002), 105--138}, namely that there exist 4/3-Rider sets which are sets of uniform convergence and $Λ(q)$-sets for all $q < \infty $, but which are not Rosenthal sets. In a second part, we show, using an older result of Kashin and Tzafriri that, for $p > {4/3}$, the $p$-Rider sets which we had constructed in that paper are almost surely ot of uniform convergence. | |
| dc.identifier | https://arxiv.org/abs/0904.2507 | |
| dc.identifier | http://arxiv.org/abs/0904.2507 | |
| dc.identifier | Proceedings of the American Mathematical Society 136, 1 (2008) 141 - 150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227377 | |
| dc.subject | Functional Analysis | |
| dc.subject | 43A46, 42A55, 42A61 | |
| dc.title | On some random thin sets of integers | |
| dc.type | text |