Length of Julia curves
type: Item
instance of: scholarly article
title: Length of Julia curves
zbMATH Open document ID: 0836.30021
published in: Pacific Journal of Mathematics
publication date: 1996-04-22T00:00:00Z
review text: The main result of the paper reads as follows. Let \(F : \mathbb{C} \to \mathbb{C}\) be a rational function. If the Julia set \(J(F)\) is a Jordan curve then \(J(F)\) is a ``circle/line'' or the Hausdorff dimension of \(J(F)\) is greater than 1.
Mathematics Subject Classification ID: 30D45
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 815789
zbMATH Keywords: Julia set
zbMATH Keywords: Fatou set
zbMATH Keywords: meromorphic function
zbMATH Keywords: Denjoy-Wolff point
zbMATH Keywords: Hausdorff measure
zbMATH Keywords: ergodic function
zbMATH Keywords: rational function
author: David . H. Hamilton
reviewed by: Janusz Matkowski
MaRDI profile type: Publication
full work available at URL: pjm.1995.169.75
OpenAlex ID: W2045669768
Wikidata QID: Q123009863
DOI: 10.2140/PJM.1995.169.75
description: scientific article; zbMATH DE number 815789