How long are the arms in DLA?

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, , Citation H Kesten 1987 J. Phys. A: Math. Gen. 20 L29 DOI 10.1088/0305-4470/20/1/007

0305-4470/20/1/L29

Abstract

The author shows that the maximal length of the arms of DLA can grow at most at a rate of n2/3 in dimension 2 and at a rate of n2/d in dimension d>2. Here n denotes the volume or mass of the aggregate.

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10.1088/0305-4470/20/1/007