Dessins d'enfants and hubbard trees

Kevin M. Pilgrim

Annales scientifiques de l'École Normale Supérieure (2000)

  • Volume: 33, Issue: 5, page 671-693
  • ISSN: 0012-9593

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Pilgrim, Kevin M.. "Dessins d'enfants and hubbard trees." Annales scientifiques de l'École Normale Supérieure 33.5 (2000): 671-693. <http://eudml.org/doc/82531>.

@article{Pilgrim2000,
author = {Pilgrim, Kevin M.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {5},
pages = {671-693},
publisher = {Elsevier},
title = {Dessins d'enfants and hubbard trees},
url = {http://eudml.org/doc/82531},
volume = {33},
year = {2000},
}

TY - JOUR
AU - Pilgrim, Kevin M.
TI - Dessins d'enfants and hubbard trees
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2000
PB - Elsevier
VL - 33
IS - 5
SP - 671
EP - 693
LA - eng
UR - http://eudml.org/doc/82531
ER -

References

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  1. [1] BELYI G., On Galois extensions of a maximal cyclotomic field, Izv. Akad. Nauk. SSR, Ser. Mat. 43 (2) (1979) 269-276 (in Russian). [English translation : Math. USSR Izv. 14 (1979) 247-256]. Zbl0429.12004MR80f:12008
  2. [2] BEARDON A., Iteration of Rational Functions, Graduate Texts in Mathematics, Vol. 132, Springer-Verlag, 1991. Zbl0742.30002MR92j:30026
  3. [3] COUVEIGNES J.-M., Calcul et rationalité de fonctions de Belyi en genre 0, Ann. Inst. Fourier 44 (1) (1994). Zbl0791.11059MR96k:11080
  4. [4] DOUADY A., HUBBARD J., A proof of Thurston's characterization of rational functions, Acta Math. 171 (1993) 263-297. Zbl0806.30027MR94j:58143
  5. [5] DOUADY A., HUBBARD J., Étude Dynamique des Polynômes Complexes, Première Partie, Exp. IV, VI. Publ. Math. Orsay, 1984-1985. Zbl0552.30018
  6. [6] JACOBSON N., Basic Algebra II, W.H. Freeman, 1974. Zbl0441.16001MR50 #9457
  7. [7] JONES G., STREIT M., Galois groups, monodromy groups, and cartographic groups, in : Schneps L., Lochak P. (Eds.), Geometric Galois Actions, 2, London Math. Soc. Lecture Note Series, Vol. 243, Cambridge Univ. Press, 1997. Zbl0898.14012MR2000d:14028
  8. [8] POIRIER A., On Post Critically Finite Polynomials Part Two : Hubbard Trees, SUNY Stony Brook IMS Preprint, 1993/1997. 
  9. [9] SCHNEPS L., Dessins d'enfants on the Riemann sphere, in : Schneps L. (Ed.), The Grothendieck Theory of Dessins d'Enfants, London Math. Soc. Lecture Notes, Vol. 200, Cambridge Univ. Press, 1994. Zbl0823.14017MR95j:11061
  10. [10] SILVERMAN J., The field of definition for dynamical systems on ℙ1, Compos. Math. 98 (1995) 269-304. Zbl0849.11090MR96j:11090

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