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ON THE ASSOUAD DIMENSION OF GRAPH DIRECTED MORAN FRACTALS
Preview AbstractWe give a simple and direct proof of the fact that the Assouad dimension of a graph directed Moran fractal satisfying the Open Set Condition coincides with its Hausdorff and box dimensions.
MIXED MULTIFRACTAL SPECTRA OF HOMOGENEOUS MORAN MEASURES
Preview AbstractThere are only two kinds of measures in which the mixed multifractal formalism applies, which are self-similar and self-conformal measures. This paper studies the validity and non-validity of the mixed multifractal formalism of other kinds of measures, called irregular/homogeneous Moran measures.