| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840917 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 7 Pages |
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.
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Authors
E. de Amo, I. Bhouri, M. Díaz Carrillo, J. Fernández-Sánchez,