Continuity of the Multifractal Spectrum of a Random Statistically Self-Similar Measure
β Scribed by Julien Barral
- Book ID
- 110255609
- Publisher
- Springer US
- Year
- 2000
- Tongue
- English
- Weight
- 276 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0894-9840
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π SIMILAR VOLUMES
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
## Abstract By now the multifractal structure of selfβsimilar measures satisfying the soβcalled 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