On a generalized dimension of self-affin
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Xing-Gang He; Ka-Sing Lau
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Article
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2008
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John Wiley and Sons
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English
β 617 KB
## Abstract For a __d__ Γ__d__ expanding matrix __A__, we de.ne a pseudoβnorm __w__ (__x__) in terms of __A__ and use this pseudoβnorm (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