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Hausdorff dimension of a class of non-self-similar fractals

✍ Scribed by M. A. Shereshevskii

Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
229 KB
Volume
50
Category
Article
ISSN
0001-4346

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## 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