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.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
E. de Amo, I. Bhouri, M. Díaz Carrillo, J. Fernández-Sánchez,