Dessins D'enfants and Hubbard Trees

Author

Kevin M. Pilgrim, Missouri University of Science and Technology

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.

Recommended Citation

K. M. Pilgrim, "Dessins D'enfants and Hubbard Trees," Annales Scientifiques de l'Ecole Normale Superieure, vol. 33, no. 5, pp. 671 - 693, Société Mathematique de France, Jan 2000.

The definitive version is available at https://doi.org/10.1016/S0012-9593(00)01050-8

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant DMS-97003724

Keywords and Phrases

Belyi; Dessins; Holomorphic dynamics; Julia set

International Standard Serial Number (ISSN)

0012-9593

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Société Mathematique de France, All rights reserved.

Publication Date

01 Jan 2000