Dessins d'enfants and Hubbard trees

Annales Scientifiques de l'Ecole Normale Superieure

Volumn 33, Issue 5, 2000, Pages 671-693

  Pilgrim, Kevin M ^a  

^a MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

Author keywords

Belyi; Dessins; Holomorphic dynamics; Julia set

Indexed keywords

EID: 0043187213     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(00)01050-8     Document Type: Article

References (10)

1. Belyi G. On Galois extensions of a maximal cyclotomic field. Izv. Akad. Nauk. SSR, Ser. Mat. Vol. 43:(2):1979;269-276. (in Russian). [English translation: Math. USSR Izv. 14 (1979) 247-256].
2. Beardon A. Iteration of Rational Functions. Graduate Texts in Mathematics. Vol. 132:1991;Springer-Verlag.
3. Couveignes J.-M. Calcul et rationalité de fonctions de Belyi en genre 0 . Ann. Inst. Fourier. Vol. 44:(1):1994.
4. Douady A., Hubbard J. A proof of Thurston's characterization of rational functions. Acta Math. Vol. 171:1993;263-297.
5. Douady A., Hubbard J. Étude Dynamique des Polynômes Complexes. 1984-5;Première Partie, Exp. IV, VI. Publ. Math. Orsay.
6. Jacobson N. Basic Algebra II. 1974;W.H. Freeman.
7. Jones G., Streit M. Galois groups, monodromy groups, and cartographic groups. Schneps L., Lochak P. Geometric Galois Actions, 2. London Math. Soc. Lecture Note Series. Vol. 243:1997;Cambdridge Univ. Press.
8. Poirier A. On Post Critically Finite Polynomials Part Two: Hubbard Trees. 1993/7;SUNY Stony Brook IMS Preprint.
9. Schneps L. Dessins d'enfants on the Riemann sphere. Schneps L. The Grothendieck Theory of Dessins d'Enfants. London Math. Soc. Lecture Notes. Vol. 200:1994;Cambdridge Univ. Press.
10. 1 . Compos. Math. Vol. 98:1995;269-304.