The \(L^q\)-spectrum of a class of graph directed self-affine measures. (English) Zbl 1180.28004
Summary: The \(L^q\)-spectrum of measure is a basic ingredient in the study of fractal geometry, particularly in the study of multifractal phenomena. We calculate the \(L^q\)-spectrum for a class of graph directed self-affine measures. As an application, the Hausdorff dimensions of these measures and the box-counting dimensions of the support sets are obtained.
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