| Автор | Matthew Nicol |
| Дата выпуска | 1996-01-01 |
| dc.description | Let be a compact Lie group and let denote the connected component of the identity of . Suppose f is a map equivariant with respect to . We consider perturbations of f which are modelled by random compositions of equivariant maps which are close to f pointwise. We show that under mild assumptions on the distribution governing the choice of maps any invariant measure for the resulting Markov process is invariant and absolutely continuous with respect to Lebesgue measure. Thus observations on the asymptotic dynamics of the perturbed system will have symmetry. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Symmetries of the asymptotic dynamics of random compositions of equivariant maps |
| Тип | paper |
| DOI | 10.1088/0951-7715/9/1/008 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 9 |
| Первая страница | 225 |
| Последняя страница | 235 |
| Аффилиация | Matthew Nicol; Department of Mathematics, University of Warwick, Coventry, CV4 7AL, UK |
| Выпуск | 1 |
