Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10733091 | Chaos, Solitons & Fractals | 2005 | 11 Pages |
Abstract
Let K(λ1, λ2), the symmetry Cantor sets, be the attractor of an iterated function system {f1, f2, f3} on the line, where f1(x) = λ1x, f2(x)=λ2x+1-λ22,f3(x)=1-λ1+λ1x, x â [0, 1]. In this paper, we proved that if 1-2λ1-λ22⩾λ, where λ â¡Â max{λ1, λ2}, then the exact Hausdorff centered measure Cs of K(λ1, λ2) equals 1, where s is the Hausdorff dimension of K(λ1, λ2).
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Meifeng Dai, Lixin Tian,