Article ID Journal Published Year Pages File Type
10733091 Chaos, Solitons & Fractals 2005 11 Pages PDF
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 ∈ [0, 1]. In this paper, we proved that if 1-2λ1-λ22⩾λ, where λ ≡ 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
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