Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-28T00:16:16.081Z Has data issue: false hasContentIssue false
  • English
  • Français

EXPLICIT RATIONAL FUNCTIONS WHOSE JULIA SETS ARE JORDAN ARCS

Published online by Cambridge University Press:  24 May 2004

CLEMENS INNINGER  and
FRANZ PEHERSTORFER
CLEMENS INNINGER
Affiliation:
Institut für Analysis, Universität Linz, Altenbergerstrasse 69, 4040 Linz, [email protected]@hotmail.com
FRANZ PEHERSTORFER
Affiliation:
Institut für Analysis, Universität Linz, Altenbergerstrasse 69, 4040 Linz, [email protected]@hotmail.com
Get access

Abstract

A class of rational functions and sufficient conditions on it such that the Julia set is a Jordan arc, respectively no Jordan arc, are introduced. Further, it is shown that any rational function which has a Jordan arc as Julia set belongs up to Möbius conjugation to this class.

Keywords

37F1030D0526C1539B12
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 676 - 692
Copyright
The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This work was supported by the Austrian Science Fund FWF, projects P12985-TEC and P16390-N04.