On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
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 p...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150428 |
| Acesso em linha: | https://ddd.uab.cat/record/150428 https://dx.doi.org/urn:doi:10.4064/fm215-2-5 |
| Access Level: | acceso abierto |
| Palavra-chave: | Connectivity of Julia sets Julia sets Quasiconformal surgery Weakly repelling fixed point |
| Resumo: | 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. |
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