Critical portraits for postcritically finite polynomials

Alfredo Poirier

Fundamenta Mathematicae (2009)

  • Volume: 203, Issue: 2, page 107-163
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Alfredo Poirier. "Critical portraits for postcritically finite polynomials." Fundamenta Mathematicae 203.2 (2009): 107-163. <http://eudml.org/doc/283039>.

@article{AlfredoPoirier2009,
abstract = {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.},
author = {Alfredo Poirier},
journal = {Fundamenta Mathematicae},
keywords = {complex dynamical systems; postcritically finite polynomials},
language = {eng},
number = {2},
pages = {107-163},
title = {Critical portraits for postcritically finite polynomials},
url = {http://eudml.org/doc/283039},
volume = {203},
year = {2009},
}

TY - JOUR
AU - Alfredo Poirier
TI - Critical portraits for postcritically finite polynomials
JO - Fundamenta Mathematicae
PY - 2009
VL - 203
IS - 2
SP - 107
EP - 163
AB - 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.
LA - eng
KW - complex dynamical systems; postcritically finite polynomials
UR - http://eudml.org/doc/283039
ER -

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