| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4625304 | Advances in Applied Mathematics | 2007 | 26 Pages |
Abstract
The self-similar vector-valued measure is a vector analogue of the self-similar measure. In this paper we consider its multifractal structure. We show that the multifractal formalism holds if the iterated function system (IFS) involved satisfies the open set condition. This result can be applied to the study of the multifractal formalism of certain self-similar IFS with overlaps.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
