The L~q-spectrum of a class of graph directed self-affine measures

摘要

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.