The Hausdorff dimension of the Julia set for complex polynomial \(z^ d+c\)
type: Item
instance of: scholarly article
title: The Hausdorff dimension of the Julia set for complex polynomial \(z^ d+c\)
zbMATH Open document ID: 0827.30012
author: Guoxiao Yang
published in: Chinese Science Bulletin
publication date: 1995-08-09T00:00:00Z
review text: Using the Bieberbach conjecture (Theorem of de Branges), the author gives an upper bound of the radius of the filled-in Julia set of the polynomial \(P(z) = z^d + c\), and, as an application, he obtains a lower bound of the Hausdorff dimension of this set.
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 783504
zbMATH Keywords: iterate
zbMATH Keywords: Mandelbrot set
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: Bieberbach conjecture
zbMATH Keywords: Julia set
reviewed by: Janusz Matkowski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 783504