Any geometrically finite polynomial f of degree d ≥ 2 with connected Julia set is accessible by structurally stable sub-hyperbolic polynomials of the same degree. Moreover, they are topologically conjugate to f on their Julia sets.
@article{bwmeta1.element.bwnjournal-article-fmv163i2p131bwm, author = {Peter Ha\"\i ssinsky}, title = {D\'eformation J-\'equivalente de polyn\^omes g\'eometriquement finis}, journal = {Fundamenta Mathematicae}, volume = {163}, year = {2000}, pages = {131-141}, zbl = {0959.37037}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv163i2p131bwm} }
Haïssinsky, Peter. Déformation J-équivalente de polynômes géometriquement finis. Fundamenta Mathematicae, Tome 163 (2000) pp. 131-141. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv163i2p131bwm/
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