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The Hausdorff dimension of self-affine fractals

✍ Scribed by Falconer, K. J.

Book ID
117999903
Publisher
Cambridge University Press
Year
1988
Tongue
English
Weight
1022 KB
Volume
103
Category
Article
ISSN
0305-0041

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πŸ“œ SIMILAR VOLUMES

On a generalized dimension of self-affin
On a generalized dimension of self-affine fractals
✍ Xing-Gang He; Ka-Sing Lau πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 617 KB

## Abstract For a __d__ Γ—__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