Characterization of Planar Pseudo-Self-Similar Tilings
β Scribed by N. Priebe; B. Solomyak
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 144 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0179-5376
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π SIMILAR VOLUMES
Let K be a self-similar set in R n which has similarity dimension n and nonempty interior. In this paper it is shown that the topological boundary of K has Hausdorff dimension less than n. Examples are given to show that although the dimension of the boundary is strictly less than n, it may be arbit
## Abstract The frequency response of selfβsimilar structures may exhibit sharp transmission peaks inside highβattenuation frequency bands. The similarity dimension and lacunarity of such structures are used as key parameters for designing new selective planar microwave filters. Comparisons between