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

Núria Fagella, Xavier Jarque, and Jordi Taixés. "On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II." Fundamenta Mathematicae 215.2 (2011): 177-202. <http://eudml.org/doc/283394>.

@article{NúriaFagella2011,
abstract = {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.},
author = {Núria Fagella, Xavier Jarque, Jordi Taixés},
journal = {Fundamenta Mathematicae},
keywords = {Julia set; connectivity; transcendental meromorphic; weakly repelling fixed point; quasiconformal surgery; virtually repelling; parabolic basin; rational-like map; Shishikura's rational case; measurable Riemann mapping theorem},
language = {eng},
number = {2},
pages = {177-202},
title = {On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II},
url = {http://eudml.org/doc/283394},
volume = {215},
year = {2011},
}

TY - JOUR
AU - Núria Fagella
AU - Xavier Jarque
AU - Jordi Taixés
TI - On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
JO - Fundamenta Mathematicae
PY - 2011
VL - 215
IS - 2
SP - 177
EP - 202
AB - 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.
LA - eng
KW - Julia set; connectivity; transcendental meromorphic; weakly repelling fixed point; quasiconformal surgery; virtually repelling; parabolic basin; rational-like map; Shishikura's rational case; measurable Riemann mapping theorem
UR - http://eudml.org/doc/283394
ER -