Abstract
We study self-affine multifractals in R-d using the formalism introduced in [Olsen, A multifractal formalism, Advances in Mathematics, 116 (1996), 82-196]. We prove that new multifractal phenomena, not exhibited by self-similar multifractals in R-d, appear in the self-affine case.
| Original language | English |
|---|---|
| Pages (from-to) | 143-200 |
| Number of pages | 57 |
| Journal | Pacific Journal of Mathematics |
| Volume | 183 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Mar 1998 |
Keywords
- HAUSDORFF DIMENSION
- STRANGE ATTRACTORS
- PACKING MEASURE
- FRACTALS
- CARPETS
- DECOMPOSITIONS
- DEFINITIONS
- SPECTRUM
- SETS
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