A general result on absolute continuity of non-uniform self-similar measures on the real line
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Authors
We present a general result on absolute continuity of biased non-uniform self-similar measure on the real line, given by n different contraction and translation rates. The result holds generically in the sense of Lebesgue measure on a certain part of the parameter domain.
| Original language | English |
|---|---|
| Journal | Fractals |
| Volume | 16 |
| Issue number | 4 |
| Pages (from-to) | 299-304 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 01.12.2008 |
| Externally published | Yes |
- Mathematics
- Absolute continuity, Self-similar measures, Transverselity