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A self-adaptive technique for the estimation of the multifractal spectrum

✍ Scribed by Michel Broniatowski; Pascal Mignot

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
172 KB
Volume
54
Category
Article
ISSN
0167-7152

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πŸ“œ SIMILAR VOLUMES

A lower bound for the symbolic multifrac
A lower bound for the symbolic multifractal spectrum of a self-similar multifractal with arbitrary overlaps
✍ L. Olsen πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 238 KB

## Abstract By now the multifractal structure of self‐similar measures satisfying the so‐called Open Set Condition is well understood. However, if the Open Set Condition is not satisfied, then almost nothing is known. In this paper we prove a nontrivial lower bound for the symbolic multifractal spe

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We define the notion of quasi self-similar measures and show that for such measures their generalised Hausdorff and packing measures are positive and finite at the critical exponent. In practice this allows easy calculation of their dimension functions. We then show that a coarse form of the multifr