On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
Núria Fagella ; Xavier Jarque ; Jordi Taixés
Fundamenta Mathematicae, Tome 215 (2011), p. 177-202 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:283394 
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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) pp. 177-202. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm215-2-5/