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Copulae, Self-Affine Functions, and Fractal Dimensions

✍ Scribed by de Amo, Enrique; Carrillo, Manuel Díaz; Sánchez, Juan Fernández

Book ID
121617681
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
377 KB
Volume
11
Category
Article
ISSN
1660-5446

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✍ Xing-Gang He; Ka-Sing Lau 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 617 KB

## 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