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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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