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Structural and computational depth of diffusion limited aggregation

Dan Tillberg, Jon Machta

cond-mat.stat-mecharXiv:cond-mat/0309519

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.

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