Dessins d'enfants and Hubbard trees

  • Pilgrim K
  • 3

    Readers

    Mendeley users who have this article in their library.
  • 15

    Citations

    Citations of this article.

Abstract

We show that the absolute Galois group acts faithfully on the set of Hubbard trees. Hubbard trees are finite planar trees, equipped with self-maps, which classify postcritically finite polynomials as holomorphic dynamical systems on the complex plane. We establish an explicit relationship between certain Hubbard trees and the trees known as "dessins d'enfants" introduced by Grothendieck. © 2000 Éditions scientifiques et médicales Elsevier SAS.

Author-supplied keywords

  • Belyi
  • Dessins
  • Holomorphic dynamics
  • Julia set

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Kevin M. Pilgrim

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free