| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4620884 | Journal of Mathematical Analysis and Applications | 2008 | 6 Pages |
Abstract
The self-affine measure associated with an iterated function system and a weight is uniquely determined. The problem of determining whether a self-affine measure is absolutely continuous or singular has been studied extensively in recent years. In the present paper we consider the singularity of certain self-affine measures. We obtain a sufficient condition for such measures being singular. Two applications of this result are given, which extend several known results in a simple manner.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
