Upper bounds for the growth rate of DLA

Harry Kesten

Physica A: Statistical Mechanics and its Applications, 1990, vol. 168, issue 1, 529-535

Abstract: We show that the maximal length of the arms in DLA can grow at most at a rate n2(d+1), where n denotes the volume or mass of the aggregate, and d is the dimension. (A logarithmic correction factor is needed if d=3). We also give a lower bound for the number of sites in a sphere which are eventually occupied by the aggregate.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:168:y:1990:i:1:p:529-535

DOI: 10.1016/0378-4371(90)90405-H

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