The pointwise dimension of self-similar measures
β Scribed by Ercai Chen; Jincheng Xiong
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 423 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1001-6538
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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
Let K and Β΅ be the self-similar set and the self-similar measure associated with an iterated function system with probabilities (Si, pi)i=1,...,N satisfying the Open Set Condition. Let Ξ£ = {1, . . . , N} N denote the full shift space and let Ο : Ξ£ β K denote the natural projection. The (symbolic) lo