The Hausdorff dimension of the Julia sets concerning renormalization transformation

Junyang Gao

Chaos, Solitons & Fractals, 2015, vol. 78, issue C, 134-139

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.

Keywords: Hausdorff dimension; Julia set; Conjugation; Renormalization transformation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:78:y:2015:i:c:p:134-139

DOI: 10.1016/j.chaos.2015.07.027

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