Under some technical assumptions it is shown that the Hausdorff dimension of the harmonic measure on the limit set of a conformal infinite iterated function system is strictly less than the Hausdorff dimension of the limit set itself if the limit set is contained in a real-analytic curve, if the ite
Hausdorff measure of infinitely generated self-similar sets
β Scribed by M. Moran
- Publisher
- Springer Vienna
- Year
- 1996
- Tongue
- English
- Weight
- 599 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
This paper presents a new method for similarity measures between intuitionistic fuzzy sets (IFSs). We will present a method to calculate the distance between IFSs on the basis of the Hausdorff distance. We will then use this distance to generate a new similarity measure to calculate the degree of si
## a b s t r a c t This paper is concerned with the question whether each self-similar set on R 1 with positive Lebesgue measure contains an interval. We show that it is true for two instances: One is the self-similar set with respect to two similitudes; the other is the uniformly discrete selfsim