Structural and computational depth of diffusion limited aggregation
arXiv:cond-mat/0309519 · doi:10.1103/PhysRevE.69.051403
Abstract
Diffusion limited aggregation is studied from the perspective of computational complexity. A parallel algorithm is exhibited that requires a number of steps that scales as the depth of the tree defined by the cluster. The existence of this algorithm suggests a connection between a fundamental computational and structural property of DLA.
5 pages, 3 figures