Abstract
We construct an example of an iterated function system on the line, consisting of linear fractional transformations, such that two of the maps share a fixed points, but the dimension of the attractor equals the conformal dimension, so that there is no “dimension drop”.
| Original language | English |
|---|---|
| Pages (from-to) | 373-387 |
| Number of pages | 15 |
| Journal | Journal of Fractal Geometry |
| Volume | 11 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 2024 |
Keywords
- dimension drop
- non-linear iterated function system
- overlap
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Applied Mathematics