| Автор | Suzanne Lynch Hruska |
| Дата выпуска | 2005-01-01 |
| dc.description | We describe a rigorous computer algorithm for attempting to construct an explicit, discretized metric for which a polynomial map is expansive on a neighbourhood of the Julia set, J. We show that the construction of such a metric proves the map is hyperbolic. We also examine the question of whether the algorithm can be improved, and the related question of how to build a metric close to Euclidean. Finally, we give several examples generated with our implementation of this algorithm. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2005 IOP Publishing Ltd and London Mathematical Society |
| Название | Constructing an expanding metric for dynamical systems in one complex variable |
| Тип | paper |
| DOI | 10.1088/0951-7715/18/1/005 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 18 |
| Первая страница | 81 |
| Последняя страница | 100 |
| Аффилиация | Suzanne Lynch Hruska; Department of Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405, USA |
| Выпуск | 1 |
