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.
H Kesten1
Published under licence by IOP Publishing Ltd
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Citation H Kesten 1987 J. Phys. A: Math. Gen. 20 L29
DOI 10.1088/0305-4470/20/1/007
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.