On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II

Author

Fagella Rabionet, Núria

Jarque i Ribera, Xavier

Taixés, Jordi

Publication date

2011

Abstract

Agraïments: All authors were supported by funds MCRTN-CT-2006-035651. The third author was supported by 2009CTP-00002.


Following the attracting and preperiodic cases ([5]), 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.

Document Type

Article

Language

English

Subjects and keywords

Connectivity of Julia sets; Julia sets; Quasiconformal surgery; Weakly repelling fixed point

Publisher

 

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Rights

open access

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