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A construction of singular overlapping asymmetric self-similar measures

✍ Scribed by J. Neunhäuserer; J. Neunhäuserer; J. Neunhäuserer

Publisher
Akadmiai Kiad
Year
2006
Tongue
English
Weight
204 KB
Volume
113
Category
Article
ISSN
1588-2632

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📜 SIMILAR VOLUMES

A Class of Self-Similar Fractals with Ov
A Class of Self-Similar Fractals with Overlap Structure
✍ Hui Rao; Zhi-Ying Wen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 237 KB

For the contracting similarities S x s xr3, S x s xq r3, and S x s 1 2 3 Ž . w x xq2 r3, where g 0, 1 , let F denote the invariant set with respect to S , S , 1 2 and S . In this paper, we study the Hausdorff measure, Hausdorff dimension, and 3 w x Ž . the structure of F . Let s bra g ‫ޑ‬ l 0, 1 , a