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Dimension spectra of self-affine sets

✍ Scribed by Satoshi Takahashi

Publisher: The Hebrew University Magnes Press
Year: 2002
Tongue: English
Weight: 691 KB
Volume: 127
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02784523

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## Abstract For a __d__ ×__d__ expanding matrix __A__, we de.ne a pseudo‐norm __w__ (__x__) in terms of __A__ and use this pseudo‐norm (instead of the Euclidean norm) to define the Hausdorff measure and the Hausdorff dimension dim^__w__^ ~__H__~ __E__ for subsets __E__ in R^__d__^ . We show that t