On the derivative of the Hausdorff Dimension of the Julia sets for z²+c

2017/12/08 by Ludwik Jaksztas, Jaksztas, Ludwik, Michel Zinsmeister +1
Mathematics · #Analytic and geometric function theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #Primary 37F45 #Secondary 37F35

paper · pdf · doi:10.48550/arxiv.1712.03102

openalex publication_date 2017/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let d(c) denote the Hausdorff dimension of the Julia set J_c of the polynomial f_c(z)=z²+c. We will investigate behavior of the function d(c) when real parameter c tends to a parabolic parameter.

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