Title

Singularity and L2-Dimension of Self-Similar Measures

Document Type

Article

Publication Date

2012

Publication Title

Chaos, Solitons & Fractals

DOI

10.1016/j.chaos.2011.12.010

Abstract

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.

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