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A new class of exceptional self-affine fractals

✍ Scribed by Kirat, Ibrahim; Kocyigit, Ilker

Book ID
121187858
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
517 KB
Volume
401
Category
Article
ISSN
0022-247X

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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