Title of article
The Hausdorff dimension of the level sets of Takagi’s function Original Research Article
Author/Authors
E. de Amo، نويسنده , , I. Bhouri Baouab، نويسنده , , M. D?az Carrillo، نويسنده , , J. Fern?ndez-S?nchez، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
7
From page
5081
To page
5087
Abstract
Recently, Maddock (2006) [12] has conjectured that the Hausdorff dimension of each level set of Takagi’s function is at most 1/2. We prove this conjecture using the self-affinity of the function of Takagi and the existing relationship between the Hausdorff and box-counting dimensions.
Keywords
Level set , Box counting , Takagi’s function , Hausdorff dimension
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
863296
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