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Página principal > Artículos > Artículos publicados > On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II |
Fecha: | 2011 |
Resumen: | 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. |
Ayudas: | 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 |
Nota: | Agraïments: All authors were supported by funds MCRTN-CT-2006-035651. The third author was supported by 2009CTP-00002. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Connectivity of Julia sets ; Julia sets ; Quasiconformal surgery ; Weakly repelling fixed point |
Publicado en: | Fundamenta Mathematicae, Vol. 215 (2011) , p. 177-202, ISSN 1730-6329 |
Postprint 27 p, 474.1 KB |