Remarque sur les fonctions ayant le même ensemble de Julia

Tien-Cuong Dinh

Annales de la Faculté des sciences de Toulouse : Mathématiques (2000)

  • Volume: 9, Issue: 1, page 55-70
  • ISSN: 0240-2963

How to cite

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Dinh, Tien-Cuong. "Remarque sur les fonctions ayant le même ensemble de Julia." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.1 (2000): 55-70. <http://eudml.org/doc/73511>.

@article{Dinh2000,
author = {Dinh, Tien-Cuong},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {permutable critical points; relation domains; rational functions; Julia set; polynomials},
language = {fre},
number = {1},
pages = {55-70},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Remarque sur les fonctions ayant le même ensemble de Julia},
url = {http://eudml.org/doc/73511},
volume = {9},
year = {2000},
}

TY - JOUR
AU - Dinh, Tien-Cuong
TI - Remarque sur les fonctions ayant le même ensemble de Julia
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2000
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 1
SP - 55
EP - 70
LA - fre
KW - permutable critical points; relation domains; rational functions; Julia set; polynomials
UR - http://eudml.org/doc/73511
ER -

References

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  1. [1] Baker ( I.N.) and Eremenko ( A.E.). - A problem on Julia sets, Ann. Acd. Sci. Fenn., series A, 12 (1987), 229-236. Zbl0606.30030MR951972
  2. [2] Beardon ( A.F.). — Iteration of Rational Functions, Graduate Texts in Math., 132 (1991), Springer-Verlag. Zbl0742.30002MR1128089
  3. [3] Bergweiler ( W.). — Iteration of meromorphic functions, Bull. A.M.S., 29:2 (1993), 151-188. Zbl0791.30018MR1216719
  4. [4] Briend ( J.Y.) et Duval ( J.). — Exposants de Liapunoff et points périodiques d'endomorphismes holomorphes de CPk, Acta Math., 182 (1999), 143-157. Zbl1144.37436MR1710180
  5. [5] Brolin ( H.). — Invariant sets under iteration of rational functions, Ark. Mat.6 (1965), 103-144. Zbl0127.03401MR194595
  6. [6] Eremenko ( A.E.). — On somme functional equations connected with iteration of rational function, Leningrad. Math. J., 1 (1990), No. 4, 905-919. Zbl0724.39006MR1027462
  7. [7] Fatou ( P.). — Sur l'itération analytique et les substitutions permutables, Journ. de Math., 2 (1923), 343-384. Zbl50.0690.01JFM50.0690.01
  8. [8] Fatou ( P.). — Sur les équations fonctionnellesBull. Soc. Math. France47(1919), 161-271, 48 (1920), 33-94, 208-314. Zbl47.0921.02JFM47.0921.02
  9. [9] Hu ( P.C.), Yang ( C.C.). — Dynamics of composite mappings, Proc. Japan Acad., 74 (1998), serie A, 146-148. Zbl0918.58029MR1675454
  10. [10] Julia ( G.). — Mémoire sur la permutabilité des fractions rationnelles, Ann. Sci. Ecole Norm. Sup., 39 (1922), 131-215. Zbl48.0364.02JFM48.0364.02
  11. [11] Levin ( G.), Przytycki ( F.). — When do two functions have the same Julia set?, Proc. Amer. Math. Soc., 125 (1997), no. 7, 2179-2190. Zbl0870.58085MR1376996
  12. [12] Ritt ( J.F.). — Permutable rational functions, Trans. Amer. Math. Soc., 25 (1923), 399-448. Zbl49.0712.02MR1501252JFM49.0712.02
  13. [13] Schmidt ( W.), Steinmetz ( N.). — The polynomials associated with a Julia set, Bull. London Math. Soc., 27 (1995), no. 3, 239-241. Zbl0826.30020MR1328699
  14. [14] Steinmetz ( N.). — Rational Iteration, Grutyer Studies in Math., 16 (1993). Zbl0773.58010MR1224235

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