Singularity and L2-Dimension of Self-Similar Measures
Chaos, Solitons & Fractals
We study self-similar measures defined by non-uniformly contractive iterated function systems of similitudes with overlaps. In the case the contraction ratios of the similitudes are exponentially commensurable, we describe a method to compute the L2-dimension of the associated self-similar measures. Our result allows us to determine the singularity of some of such measures.
"Singularity and L2-Dimension of Self-Similar Measures."
Chaos, Solitons & Fractals, 45 (3): 256-265.