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Dimension of homogeneous rational self-similar measures with overlaps

✍ Scribed by Víctor Ruiz

Book ID: 108178376
Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 476 KB
Volume: 353
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.12.008

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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