On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Taixés, Jordi (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)

Date:	2011
Abstract:	Following the attracting and preperiodic cases ([5]), in this paper we prove the existence of weakly repelling fixed points for transcendental meromorphic maps, provided that their Fatou set contains a multiply-connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed point techniques.
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: All authors were supported by funds MCRTN-CT-2006-035651. The third author was supported by 2009CTP-00002.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Connectivity of Julia sets ; Julia sets ; Quasiconformal surgery ; Weakly repelling fixed point
Published in:	Fundamenta Mathematicae, Vol. 215 (2011) , p. 177-202, ISSN 1730-6329

DOI: 10.4064/fm215-2-5

Postprint 27 p, 474.1 KB

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