Self-similarity of the branching structure in very large DLA clusters and other branching fractals
I. Yekutieli, B. B. Mandelbrot, Henry Kaufman · Journal of Physics A Mathematical and General · 1994
We study the branching structure of very large DLA clusters, of up to 100 million particles. The Horton-Strahler ordering of the branches in these clusters shows a relaxation towards a state with the stream numbers forming a geometric series. This behaviour is compared with those of several self-similar trees. It indicates that DLA clusters converge to topologically self-similar objects.