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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/164092 |
| Acceso en línea: | https://hdl.handle.net/2445/164092 |
| Access Level: | acceso abierto |
| Palabra clave: | Sistemes dinàmics complexos Funcions meromorfes Funcions de variables complexes Complex dynamical systems Meromorphic functions Functions of complex variables |
| Sumario: | 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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