We provide a full classification of postcritically finite polynomials as dynamical systems by means of Hubbard trees. The information encoded in these objects is solid enough to allow us recover all the relevant statical and dynamical aspects of the corresponding Julia sets.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm208-3-1,
author = {Alfredo Poirier},
title = {Hubbard trees},
journal = {Fundamenta Mathematicae},
volume = {209},
year = {2010},
pages = {193-248},
zbl = {1192.37064},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm208-3-1}
}
Alfredo Poirier. Hubbard trees. Fundamenta Mathematicae, Tome 209 (2010) pp. 193-248. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm208-3-1/