Автор |
I Yekutieli |
Автор |
B B Mandelbrot |
Дата выпуска |
1994-01-21 |
dc.description |
We study the Horton-Strahler ordering for random binary trees, which are statistically self-similar branching structures. Extending previously obtained results, we show that near the top of these trees, the expected bifurcation ratios tend strongly to the value 4. But at the root of the tree, the expected bifurcation ratio is less than 4, becoming asymptotically a periodic function of log<sub>4</sub> n. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Horton-Strahler ordering of random binary trees |
Тип |
paper |
DOI |
10.1088/0305-4470/27/2/014 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
27 |
Первая страница |
285 |
Последняя страница |
293 |
Аффилиация |
I Yekutieli; Yale Univ., New Haven, CT, USA |
Аффилиация |
B B Mandelbrot; Yale Univ., New Haven, CT, USA |
Выпуск |
2 |