Abstract
We consider a class of subsets of the general Sierpinski carpet which are characterized by insisting that the allowed digits in the expansion occur with prescribed group frequencies, determine their Hausdorff dimensions and give the necessary and sufficient conditions for their corresponding Hausdorff measures to be positive finite. All rights reserved
| Original language | English |
|---|---|
| Pages (from-to) | 75-89 |
| Number of pages | 15 |
| Journal | Acta Scientiarum Mathematicarum |
| Volume | 75 |
| Issue number | 1-2 |
| State | Published - 2009 |
Keywords
- Hausdorff dimension
- Hausdorff measure
- Sierpinski carpets