Sierpinski curve Julia sets for quadratic rational maps
Devaney, Robert L. (Boston University. Department of Mathematics)
Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)

Date:	2014
Abstract:	We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpi ́nski curve.
Grants:	Ministerio de Economía y Competitividad MTM2008-01486 Ministerio de Economía y Competitividad MTM2006-05849 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-792
Note:	Agraïments: The second, third and fourth author are partially supported by the European Community through the project 035651-1-2-CODY. The first author was partially supported by grant #208780 from the Simons Foundation.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Julia sets
Published in:	Annales Fennici mathematici, Vol. 39 (2014) , p. 3-22, ISSN 2737-114X

DOI: 10.5186/aasfm.2014.3903

Postprint 19 p, 1.5 MB

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