Dimension theory of linear solenoids
Research output: Journal contributions › Journal articles › Research › peer-review
Authors
We develop the dimension theory for a class of linear solenoids, which have a "fractal" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question of whether there exists a measure of full dimension.
| Original language | English |
|---|---|
| Journal | Fractals |
| Volume | 15 |
| Issue number | 1 |
| Pages (from-to) | 63-72 |
| Number of pages | 10 |
| ISSN | 0218-348X |
| DOIs | |
| Publication status | Published - 03.2007 |
- Mathematics - : Solenoid-Like Dynamical Systems, Dimension theory, Measures of Full Dimension