Multifractal analysis of a class of self-affine Moran sets

Abstract

In the paper, we investigate the fine multifractal spectrum of a class of self-affine Moran sets with fixed frequencies, and we prove that under certain separation conditions, the fine multifractal spectrum H(α) is given by the formula H(α)=∈f-∞<t<+∞ \α t+β(t)\.

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