| Автор | Astrid Franz |
| Дата выпуска | 2000-09-01 |
| dc.description | Upper bounds for the Hausdorff dimension of compact invariant sets of C<sup>1</sup>-maps on smooth Riemannian manifolds are given in terms of the singular values of the tangent map and the multiplicity function of the map, describing the number of pre-images of a certain point in a given set. For non-injective maps this improves previous results using only the singular values. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Hausdorff dimension estimates for non-injective maps using the cardinality of the pre-image sets |
| Тип | paper |
| DOI | 10.1088/0951-7715/13/5/301 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 13 |
| Первая страница | 1425 |
| Последняя страница | 1438 |
| Аффилиация | Astrid Franz; Institute of Physics, Theoretical Physics, Computational Physics, University of Technology Chemnitz, 09107 Chemnitz, Germany |
| Выпуск | 5 |
