Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1890440 | Chaos, Solitons & Fractals | 2007 | 6 Pages |
Abstract
We prove that the graph of the continuous functiony=Φ(x)=∑k=1∞λ-kαϕλkβx,0⩽x⩽1has Hausdorff dimension 2, where λ > 1, β > α > 1, ϕ(x) = 2x, 0 ⩽ x ⩽ 1/2, ϕ(−x) = ϕ(x) and ϕ(x + 1) = ϕ(x).
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
T.F. Xie, S.P. Zhou,