Mathematical Sciences: Faculty Publications

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.

Copyright

This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.

Link to Full Text

Share

COinS