Article
Singularity and L2-Dimension of Self-Similar Measures
Chaos, Solitons & Fractals
Document Type
Article
Publication Date
1-1-2012
DOI
10.1016/j.chaos.2011.12.010
Disciplines
- Education and
- Mathematics
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.
Citation Information
Sze-Man Ngai. "Singularity and L2-Dimension of Self-Similar Measures" Chaos, Solitons & Fractals Vol. 45 Iss. 3 (2012) p. 256 - 265 Available at: http://works.bepress.com/sze-man_ngai/27/