Geodesic
On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
Núria Fagella1 ; Xavier Jarque1 ; Jordi Taixés1
1Dept. de Matemàtica Aplicada i Anàlisi Universitat de Barcelona Gran Via, 585 08007 Barcelona, Spain
Fundamenta Mathematicae, Tome 215 (2011) no. 2, pp. 177-202
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Following the attracting and preperiodic cases, 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.
DOI : 10.4064/fm215-2-5
Keywords: following attracting preperiodic cases paper prove existence weakly repelling fixed points transcendental meromorphic maps provided their fatou set contains multiply connected parabolic basin quasi conformal surgery virtually repelling fixed point techniques

Núria Fagella  1   ; Xavier Jarque  1   ; Jordi Taixés  1

1 Dept. de Matemàtica Aplicada i Anàlisi Universitat de Barcelona Gran Via, 585 08007 Barcelona, Spain 
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Núria Fagella; Xavier Jarque; Jordi Taixés. On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II. Fundamenta Mathematicae, Tome 215 (2011) no. 2, pp. 177-202. doi: 10.4064/fm215-2-5

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