| Автор | Per Dahlqvist |
| Дата выпуска | 1997-06-07 |
| dc.description | The topological pressure is obtained as the leading zero of a dynamical zeta function. We consider the problem of computing this zero when it is close to a singularity. In particular we study a family of intermittent maps, which we argue exhibit a branch point singularity in its zeta functions. The convergence of the cycle expansion close to this point is extremely slow. To deal with this problem we consider a resummation of the cycle expansion. The idea is quite similar to that of Padé approximants, but the ansatz is a generalized series expansion around the branch point rather than a rational function. The improvement on convergence of the leading zero is considerable. We also briefly discuss the relation between correlation decay and the nature of the branch point. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Computing the topological pressure for intermittent maps |
| Тип | lett |
| DOI | 10.1088/0305-4470/30/11/002 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 30 |
| Первая страница | L351 |
| Последняя страница | L358 |
| Аффилиация | Per Dahlqvist; Mechanics Department, Royal Institute of Technology, S-100 44 Stockholm, Sweden |
| Выпуск | 11 |
