Institute for Mathematical Sciences
On Postcritically Finite Polynomials, Part 1: Critical Portraits.
Abstract: We extend the work of Bielefeld, Fisher and Hubbard on Critical Portraits to the case of arbitrary postcritically finite
polynomials. This determines an effective classification of
postcritically finite polynomials as dynamical systems.
This paper is the first in a series of two based on the
author's thesis, which deals with the classification of
postcritically finite polynomials. In this first part we
conclude the study of critical portraits initiated by Fisher
and continued by Bielefeld, Fisher and Hubbard.
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