Abstract
In this paper we study the Hausdorff and packing dimensions and the Renyi dimensions of random self-affine multifractal Sierpinski sponges in R-d.
| Original language | English |
|---|---|
| Pages (from-to) | 89-117 |
| Number of pages | 29 |
| Journal | Monatshefte für Mathematik |
| Volume | 162 |
| Issue number | 1 |
| Early online date | 13 Oct 2009 |
| DOIs | |
| Publication status | Published - 2011 |
Keywords
- Multifractals
- Self-affine measures
- Sierpinski sponges
- Hausdorff dimension Packing dimension
- Renyi dimension
- Local dimension
- HAUSDORFF DIMENSION
- SINGULARITY SPECTRUM
- BIRKHOFF AVERAGES
- SETS
- CARPETS
- FRACTALS