Dimension theoretical properties of generalized Baker's transformations
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Authors
We show that for generalized Baker's transformations, there is a parameter domain where we have an absolutely continuous ergodic measure and that there is a parameter domain where not even the variational principle for Hausdorff dimension holds.
| Original language | English |
|---|---|
| Journal | Nonlinearity |
| Volume | 15 |
| Issue number | 4 |
| Pages (from-to) | 1299-1307 |
| Number of pages | 9 |
| ISSN | 0951-7715 |
| DOIs | |
| Publication status | Published - 07.2002 |
- Mathematics