| Автор | Michel, Julien |
| Автор | Piau, Didier |
| Дата выпуска | 1998 |
| dc.description | We study the stochastic homogenization processes considered by Baldi (1988) and by Facchinetti and Russo (1983). We precise the speed of convergence towards the homogenized state by proving the following results: (i) a large deviations principle holds for the Young measures; if the Young measures are evaluated on a given function, then (ii) the speed of convergence is bounded in every L<sup>p</sup> norm by an explicit rate and (iii) central limit theorems hold. In dimension 1, we apply these results to the stochastic homogenization of random p-Laplacian operators for any p > 1. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1998 |
| Тема | Stochastic homogenization / large deviations / Young measures / limit theorems / rate of convergence. |
| Название | Large deviations, central limit theorems and L<sup>p</sup> convergence for Young measures and stochastic homogenizations |
| Тип | research-article |
| DOI | 10.1051/ps:1998105 |
| Electronic ISSN | 1262-3318 |
| Print ISSN | 1292-8100 |
| Журнал | ESAIM: Probability and Statistics |
| Том | 2 |
| Первая страница | 135 |
| Последняя страница | 161 |
| Аффилиация | Michel Julien; (jmichel@umpa.ens-lyon.fr) |
| Аффилиация | Piau Didier; (piau@jonas.univ-lyon1.fr) |
