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The Hausdorff dimensions of some continued fraction cantor sets

✍ Scribed by Doug Hensley

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 772 KB
Volume: 33
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(89)90005-x

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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