• Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps

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      https://www.ias.ac.in/article/fulltext/pmsc/124/04/0551-0562

    • Keywords

       

      Hausdorff dimension; Julia sets; McMullen maps.

    • Abstract

       

      We give an asymptotic formula of the Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps $f_{\lambda}(z) = z^{d} + \lambda/z^{d}$, where $d \geq 3$ and 𝜆 is small.

    • Author Affiliations

       

      Xiaoguang Wang1 Fei Yang2

      1. Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
      2. Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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