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The Hausdorff dimension of the level sets of Takagi’s function

✍ Scribed by E. de Amo; I. Bhouri; M. Díaz Carrillo; J. Fernández-Sánchez

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
318 KB
Volume
74
Category
Article
ISSN
0362-546X

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The Hausdorff Dimension of Sets Arising
The Hausdorff Dimension of Sets Arising from Diophantine Approximation with a General Error Function
✍ Bryan P. Rynne 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 204 KB

Let m, n be positive integers and let : Z n Ä R be a non-negative function. Let W(m, n; ) be the set { X # R mn : " : n j=1 x ij q j " < (q), 1 i m, for infinitely many q # Z n = . The Hausdorff dimension of W(m, n; ) is obtained for arbitrary non-negative functions , with no monotonicity assumpti