Shapes of polynomial Julia sets

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 04 Aug 2014Embargo end date: 01 Sep 2012 English Publisher:Cambridge University Press (CUP)Journal:Ergodic Theory and Dynamical Systems, volume 35, pages 1,913-1,924 (issn: 0143-3857, eissn: 1469-4417,

Copyright policy )Funded by:NSF | Low-dimensional geometry ...

Authors: Lindsey, Kathryn A.;

doi: 10.1017/etds.2014.8 , 10.48550/arxiv.1209.0143

arXiv: 1209.0143

Shapes of polynomial Julia sets

- Summary
- Subjects
- Metrics

Abstract

Any Jordan curve in the complex plane can be approximated arbitrarily well in the Hausdorff topology by Julia sets of polynomials. Finite collections of disjoint Jordan domains can be approximated by the basins of attraction of rational maps.

Related Organizations

Cornell University
United States

Keywords

FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 37F45, 37F10

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	8
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average