We extend the work of Bielefeld, Fisher and Hubbard on critical portraits to arbitrary postcritically finite polynomials. This gives the classification of such polynomials as dynamical systems in terms of their external ray behavior.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm203-2-2, author = {Alfredo Poirier}, title = {Critical portraits for postcritically finite polynomials}, journal = {Fundamenta Mathematicae}, volume = {205}, year = {2009}, pages = {107-163}, zbl = {1179.37066}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm203-2-2} }
Alfredo Poirier. Critical portraits for postcritically finite polynomials. Fundamenta Mathematicae, Tome 205 (2009) pp. 107-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm203-2-2/