Singularity of certain self-affine measures |
| |
| Authors: | Jian-Lin Li |
| |
| Institution: | aCollege of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, PR China |
| |
| 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. |
| |
| Keywords: | Iterated function system Self-affine measure Singularity Prime factorization Pisot number |
| 本文献已被 ScienceDirect 等数据库收录！ |
