Off-lattice diffusion-limited aggregation (DLA) clusters are shown to have multifractal geometry . We determine the D q spectrum associated with the mass distribution using an improved sand box technique and demonstrate that they decrease monotonically with increasing q . From our results it follows that the commonly used methods for the determination of the fractal dimension of DLA clusters yield D q =2 which is smaller than the true fractal dimension D q =0 .
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Vicsek et al. (1990) studied this question.
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