| Автор | Josep M Porrà |
| Автор | Santos B Yuste |
| Дата выпуска | 1998-08-07 |
| dc.description | Random walks on some fractals can be analysed by renormalization procedures. These techniques make it possible to obtain the Laplace transform of the first-passage time probability density function of a random walker that moves in the fractal. The calculation depends on a function that is particular to each kind of fractal. For the Sierpinski family of fractals, it has been conjectured that , where d is the dimension of the Euclidean space in which the Sierpinski fractal is embedded. We provide a proof of the conjecture that is based on the symmetries of the Sierpinski fractal. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Demonstration of a conjecture for random walks in d-dimensional Sierpinski fractals |
| Тип | paper |
| DOI | 10.1088/0305-4470/31/31/006 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 31 |
| Первая страница | 6589 |
| Последняя страница | 6593 |
| Выпуск | 31 |
