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 transcen- dental meromorphic maps, provided that their Fatou set contains a multiply-connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed...
| Authors: | , , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/164092 |
| Online Access: | https://hdl.handle.net/2445/164092 |
| Access Level: | Open access |
| Keyword: | Sistemes dinàmics complexos Funcions meromorfes Funcions de variables complexes Complex dynamical systems Meromorphic functions Functions of complex variables |
| Summary: | Following the attracting and preperiodic cases ([5]), in this paper we prove the existence of weakly repelling fixed points for transcen- dental 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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