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http://hdl.handle.net/2445/164092| Title: | On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II |
| Author: | Fagella Rabionet, Núria Jarque i Ribera, Xavier Taixés i Ventosa, Jordi |
| Keywords: | Sistemes dinàmics complexos Funcions meromorfes Funcions de variables complexes Complex dynamical systems Meromorphic functions Functions of complex variables |
| Issue Date: | 2011 |
| Publisher: | Institute of Mathematics, Polish Academy of Sciences |
| Abstract: | 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. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.4064/fm215-2-5 |
| It is part of: | Fundamenta Mathematicae, 2011, vol. 215, num. 2, p. 177-202 |
| URI: | http://hdl.handle.net/2445/164092 |
| Related resource: | https://doi.org/10.4064/fm215-2-5 |
| ISSN: | 0016-2736 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 600321.pdf | 274.47 kB | Adobe PDF | View/Open |
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