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Some fractal properties of a class of self-similar Markov processes

✍ Scribed by Huang Lihu; Li Bingzhang; Liu Luqin


Book ID
105624970
Publisher
Wuhan University
Year
1997
Tongue
English
Weight
363 KB
Volume
2
Category
Article
ISSN
1007-1202

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✍ 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