Article ID Journal Published Year Pages File Type
1888530 Chaos, Solitons & Fractals 2015 6 Pages PDF
Abstract

We consider a family of rational maps Tn, λ of λ-state diamond-like hierarchical Potts models concerning renormalization transformation. We give an asymptotic formula of the Hausdorff dimension of the Julia sets J(Tn, λ) for sufficiently large λ.

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Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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The Hausdorff dimension of the Julia sets concerning renormalization transformation
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